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LCM for 70 and 336

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 70 and 336?

Answer

LCM of 70 and 336 is 1,680

(One thousand, six hundred eighty)

Finding LCM for 70 and 336 using GCF of these numbers

The first method to find LCM for numbers 70 and 336 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 70 and 336 is 14, so

LCM = (70 × 336) ÷ 14

LCM = 23520 ÷ 14

LCM = 1680

Finding LCM for 70 and 336 by Listing Multiples

The second method to find LCM for numbers 70 and 336 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

Multiples of 336: 336, 672, 1008, 1344, 1680, 2016, 2352

So the LCM for 70 and 336 is 1680

Finding LCM for 70 and 336 by Prime Factorization

Another method to find LCM for numbers 70 and 336 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 336: 2, 2, 2, 2, 3, 7 (exponent form: 24, 31, 71)

24 × 51 × 71 × 31 = 1680

See Also

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What is the LCM of 70 and 336?. Find the LCM of 70 and 336 - the smallest common multiple of two integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/70--336/generated.jpgCopy

LCM Table

Number 1Number 2LCM
5533618480
56336336
573366384
583369744
5933619824
603361680
6133620496
6233610416
633361008
643361344
6533621840
663363696
6733622512
683365712
693367728
703361680
7133623856
723361008
7333624528
7433612432
753368400
763366384
773363696
783364368
7933626544
803361680
813369072
8233613776
8333627888
84336336

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 336? (The answer is: 1680). Select the first number (e.g. '70') and the second number (e.g. '336'). 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 336?

LCM of 70 and 336 is 1,680

How to find the LCM of 70 and 336 using prime factorization?

To find the LCM of 70 and 336, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,680.

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 336: LCM = 1,680, GCF = 14.