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Least Common Multiple (LCM) of 70 and 121

The least common multiple (LCM) of 70 and 121 is 8470.

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 70 and 121?

First, calculate the GCD of 70 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 70 ÷ 121 = 0 remainder 70
2 121 ÷ 70 = 1 remainder 51
3 70 ÷ 51 = 1 remainder 19
4 51 ÷ 19 = 2 remainder 13
5 19 ÷ 13 = 1 remainder 6
6 13 ÷ 6 = 2 remainder 1
7 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
135 and 648640
161 and 17227692
14 and 31434
69 and 16611454
98 and 19519110

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