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Least Common Multiple (LCM) of 153 and 70

The least common multiple (LCM) of 153 and 70 is 10710.

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 153 and 70?

First, calculate the GCD of 153 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 70 = 2 remainder 13
2 70 ÷ 13 = 5 remainder 5
3 13 ÷ 5 = 2 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
120 and 19323160
166 and 685644
46 and 1663818
28 and 22308
116 and 1363944

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