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LCM for 90 and 215

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 90 and 215?

Answer

LCM of 90 and 215 is 3,870

(Three thousand, eight hundred seventy)

Finding LCM for 90 and 215 using GCF of these numbers

The first method to find LCM for numbers 90 and 215 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 90 and 215 is 5, so

LCM = (90 × 215) ÷ 5

LCM = 19350 ÷ 5

LCM = 3870

Finding LCM for 90 and 215 by Listing Multiples

The second method to find LCM for numbers 90 and 215 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1080, 1170, 1260, 1350, 1440, 1530, 1620, 1710, 1800, 1890, 1980, 2070, 2160, 2250, 2340, 2430, 2520, 2610, 2700, 2790, 2880, 2970, 3060, 3150, 3240, 3330, 3420, 3510, 3600, 3690, 3780, 3870, 3960, 4050

Multiples of 215: 215, 430, 645, 860, 1075, 1290, 1505, 1720, 1935, 2150, 2365, 2580, 2795, 3010, 3225, 3440, 3655, 3870, 4085, 4300

So the LCM for 90 and 215 is 3870

Finding LCM for 90 and 215 by Prime Factorization

Another method to find LCM for numbers 90 and 215 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 21, 32, 51)

All Prime Factors of 215: 5, 43 (exponent form: 51, 431)

21 × 32 × 51 × 431 = 3870

Related Calculations

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What is the LCM of 90 and 215?. The LCM of 90 and 215 is 3870 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
90100900
90120360
901301170
90135270
901401260
901452610
90150450
90165990
901901710
902001800
902053690
90210630
902153870
902302070
902354230
902502250
902551530
902602340
90270270
902754950
902802520
902851710
902902610
903055490
90315630
903452070
90360360
903856930
90405810
904257650

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 90 and 215? (The answer is: 3870). Select the first number (e.g. '90') and the second number (e.g. '215'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 90 and 215?

LCM of 90 and 215 is 3,870

How to find the LCM of 90 and 215 using prime factorization?

To find the LCM of 90 and 215, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,870.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 90 and 215: LCM = 3,870, GCF = 5.

See Also