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Least Common Multiple (LCM) of 142 and 165

The least common multiple (LCM) of 142 and 165 is 23430.

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 142 and 165?

First, calculate the GCD of 142 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 142 ÷ 165 = 0 remainder 142
2 165 ÷ 142 = 1 remainder 23
3 142 ÷ 23 = 6 remainder 4
4 23 ÷ 4 = 5 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
74 and 1304810
27 and 1951755
131 and 11014410
135 and 587830
125 and 222750

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