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Least Common Multiple (LCM) of 152 and 170

The least common multiple (LCM) of 152 and 170 is 12920.

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 152 and 170?

First, calculate the GCD of 152 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 152 ÷ 170 = 0 remainder 152
2 170 ÷ 152 = 1 remainder 18
3 152 ÷ 18 = 8 remainder 8
4 18 ÷ 8 = 2 remainder 2
5 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
138 and 19927462
107 and 626634
74 and 14110434
13 and 54702
71 and 382698

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