LCM for 70 and 84

What's the Least Common Multiple (LCM) of 70 and 84?

Answer: LCM of 70 and 84 is 420

(Four hundred twenty)

Finding LCM for 70 and 84 using GCF's of these numbers

The first method to find LCM for numbers 70 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 70 and 84 is 14, so

LCM = (70 × 84) ÷ 14

LCM = 5880 ÷ 14

LCM = 420

Finding LCM for 70 and 84 by Listing Multiples

The second method to find LCM for numbers 70 and 84 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

Multiples of 84: 84, 168, 252, 336, 420, 504, 588

So the LCM for 70 and 84 is 420

Finding LCM for 70 and 84 by Prime Factorization

Another method to find LCM for numbers 70 and 84 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 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

22 × 51 × 71 × 31 = 420

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 84? (The answer is: 420). Select the first number (e.g. '70') and the second number (e.g. '84'). 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
55844620
5684
57841596
58842436
59844956
6084
61845124
62842604
6384
6484
65845460
6684924
67845628
68841428
69841932
7084
71845964
7284
73846132
74843108
75842100
76841596
7784924
78841092
79846636
80841680
8184
82843444
83846972
848484

FAQ

What's the Least Common Multiple (LCM) of 70 and 84?

LCM of 70 and 84 is 420