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Least Common Multiple (LCM) of 165 and 151

The least common multiple (LCM) of 165 and 151 is 24915.

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 165 and 151?

First, calculate the GCD of 165 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 165 ÷ 151 = 1 remainder 14
2 151 ÷ 14 = 10 remainder 11
3 14 ÷ 11 = 1 remainder 3
4 11 ÷ 3 = 3 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
48 and 741776
150 and 125750
155 and 1905890
102 and 919282
101 and 10510605

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