LCM for 70 and 336

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's 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 nubmers and pick the first which matching:

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

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

LCM Table

Number 1Number 2LCM
5533618480
56336336
573366384
583369744
5933619824
603361680
6133620496
6233610416
633361008
643361344
6533621840
663363696
6733622512
683365712
693367728
70336
7133623856
723361008
7333624528
7433612432
753368400
763366384
773363696
783364368
7933626544
803361680
813369072
8233613776
8333627888
84336336

FAQ

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

LCM of 70 and 336 is 1,680