LCM for 85 and 90

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What's the Least Common Multiple (LCM) of 85 and 90?

Answer

LCM of 85 and 90 is
1,530

(One thousand five hundred thirty)

Finding LCM for 85 and 90 using GCF of these numbers

The first method to find LCM for numbers 85 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 85 and 90 is 5, so

LCM = (85 × 90) ÷ 5

LCM = 7,650 ÷ 5

LCM = 1,530

Finding LCM for 85 and 90 by Listing Multiples

The second method to find LCM for numbers 85 and 90 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 85: 85, 170, 255, 340, 425, 510, 595, 680, 765, 850, 935, 1,020, 1,105, 1,190, 1,275, 1,360, 1,445, 1,530, 1,615, 1,700

Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, 1,080, 1,170, 1,260, 1,350, 1,440, 1,530, 1,620, 1,710

So the LCM for 85 and 90 is 1,530

Finding LCM for 85 and 90 by Prime Factorization

Another method to find LCM for numbers 85 and 90 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 85: 5, 17 (exponent form: 51, 171)

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

51 × 171 × 21 × 32 = 1,530

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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 85 and 90? (The answer is: 1,530). Select the first number (e.g. '85') and the second number (e.g. '90'). 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
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LCM Table

Number 1Number 2LCM
85751,275
85766,460
85776,545
85786,630
85796,715
85801,360
85816,885
85826,970
85837,055
85847,140
858585
85867,310
85877,395
85887,480
85897,565
85901,530
85917,735
85927,820
85937,905
85947,990
85951,615
85968,160
85978,245
85988,330
85998,415
851001,700
851018,585
85102510
851038,755
851048,840

FAQ

What's the Least Common Multiple (LCM) of 85 and 90?

LCM of 85 and 90 is 1,530

How to find the LCM of 85 and 90 using prime factorization?

To find the LCM of 85 and 90, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,530.

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 85 and 90: LCM = 1,530, GCF = 5.

See Also