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Least Common Multiple (LCM) of 94 and 165

The least common multiple (LCM) of 94 and 165 is 15510.

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 94 and 165?

First, calculate the GCD of 94 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 94 ÷ 165 = 0 remainder 94
2 165 ÷ 94 = 1 remainder 71
3 94 ÷ 71 = 1 remainder 23
4 71 ÷ 23 = 3 remainder 2
5 23 ÷ 2 = 11 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
19 and 1613059
170 and 14925330
40 and 532120
160 and 436880
111 and 16017760

Try Calculating LCM of Other Numbers







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