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Least Common Multiple (LCM) of 70 and 74

The least common multiple (LCM) of 70 and 74 is 2590.

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 74?

First, calculate the GCD of 70 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 70 ÷ 74 = 0 remainder 70
2 74 ÷ 70 = 1 remainder 4
3 70 ÷ 4 = 17 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
62 and 1283968
117 and 602340
60 and 1281920
21 and 1012121
73 and 14310439

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