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Least Common Multiple (LCM) of 90 and 70

The least common multiple (LCM) of 90 and 70 is 630.

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 90 and 70?

First, calculate the GCD of 90 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 90 ÷ 70 = 1 remainder 20
2 70 ÷ 20 = 3 remainder 10
3 20 ÷ 10 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
133 and 8811704
198 and 1541386
58 and 613538
174 and 685916
42 and 69966

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