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Least Common Multiple (LCM) of 18 and 70

The least common multiple (LCM) of 18 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 18 and 70?

First, calculate the GCD of 18 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 18 ÷ 70 = 0 remainder 18
2 70 ÷ 18 = 3 remainder 16
3 18 ÷ 16 = 1 remainder 2
4 16 ÷ 2 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
161 and 15124311
34 and 1903230
64 and 654160
166 and 15012450
199 and 17835422

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