LCM for 70 and 112

What's the Least Common Multiple (LCM) of 70 and 112?

Answer: LCM of 70 and 112 is 560

(Five hundred sixty)

Finding LCM for 70 and 112 using GCF's of these numbers

The first method to find LCM for numbers 70 and 112 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 70 and 112 is 14, so

LCM = (70 × 112) ÷ 14

LCM = 7840 ÷ 14

LCM = 560

Finding LCM for 70 and 112 by Listing Multiples

The second method to find LCM for numbers 70 and 112 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

Multiples of 112: 112, 224, 336, 448, 560, 672, 784

So the LCM for 70 and 112 is 560

Finding LCM for 70 and 112 by Prime Factorization

Another method to find LCM for numbers 70 and 112 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 112: 2, 2, 2, 2, 7 (exponent form: 24, 71)

24 × 51 × 71 = 560

LCM Table

Number 1Number 2LCM
551126160
56112112
571126384
581123248
591126608
601121680
611126832
621123472
631121008
64112448
651127280
661123696
671127504
681121904
691127728
70112
711127952
721121008
731128176
741124144
751128400
761122128
771121232
781124368
791128848
80112560
811129072
821124592
831129296
84112336

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 112? (The answer is: 560). Select the first number (e.g. '70') and the second number (e.g. '112'). 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

FAQ

What's the Least Common Multiple (LCM) of 70 and 112?

LCM of 70 and 112 is 560