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Least Common Multiple (LCM) of 24 and 70

The least common multiple (LCM) of 24 and 70 is 840.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 24 and 70?

First, calculate the GCD of 24 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 24 ÷ 70 = 0 remainder 24
2 70 ÷ 24 = 2 remainder 22
3 24 ÷ 22 = 1 remainder 2
4 22 ÷ 2 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
33 and 892937
139 and 9212788
141 and 482256
80 and 675360
37 and 27999

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