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Least Common Multiple (LCM) of 153 and 105

The least common multiple (LCM) of 153 and 105 is 5355.

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 105?

First, calculate the GCD of 153 and 105 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 153 ÷ 105 = 1 remainder 48
2 105 ÷ 48 = 2 remainder 9
3 48 ÷ 9 = 5 remainder 3
4 9 ÷ 3 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
101 and 19519695
190 and 417790
185 and 20740
71 and 835893
104 and 1749048

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