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LCM for 70 and 360

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 70 and 360?

Answer

LCM of 70 and 360 is 2,520

(Two thousand, five hundred twenty)

Finding LCM for 70 and 360 using GCF of these numbers

The first method to find LCM for numbers 70 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 70 and 360 is 10, so

LCM = (70 × 360) ÷ 10

LCM = 25200 ÷ 10

LCM = 2520

Finding LCM for 70 and 360 by Listing Multiples

The second method to find LCM for numbers 70 and 360 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 70: 70, 140, 210, 280, 350, 420, 490, 560, 630, 700, 770, 840, 910, 980, 1050, 1120, 1190, 1260, 1330, 1400, 1470, 1540, 1610, 1680, 1750, 1820, 1890, 1960, 2030, 2100, 2170, 2240, 2310, 2380, 2450, 2520, 2590, 2660

Multiples of 360: 360, 720, 1080, 1440, 1800, 2160, 2520, 2880, 3240

So the LCM for 70 and 360 is 2520

Finding LCM for 70 and 360 by Prime Factorization

Another method to find LCM for numbers 70 and 360 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 70: 2, 5, 7 (exponent form: 21, 51, 71)

All Prime Factors of 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)

23 × 51 × 71 × 32 = 2520

See Also

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What is the LCM of 70 and 360?. The LCM of 70 and 360 is 2520 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
702401680
70245490
702653710
702701890
702732730
702753850
702902030
702954130
703002100
703054270
703102170
703202240
703302310
703354690
70350350
703602520
703655110
70385770
703955530
704002800
70420420
704303010
704356090
704503150
70455910
704656510
704803360
704856790
705003500
7013652730

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 70 and 360? (The answer is: 2520). Select the first number (e.g. '70') and the second number (e.g. '360'). 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 70 and 360?

LCM of 70 and 360 is 2,520

How to find the LCM of 70 and 360 using prime factorization?

To find the LCM of 70 and 360, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,520.

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 70 and 360: LCM = 2,520, GCF = 10.

See Also