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Least Common Multiple (LCM) of 178 and 120

The least common multiple (LCM) of 178 and 120 is 10680.

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 178 and 120?

First, calculate the GCD of 178 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 178 ÷ 120 = 1 remainder 58
2 120 ÷ 58 = 2 remainder 4
3 58 ÷ 4 = 14 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
61 and 18010980
118 and 14517110
58 and 1498642
102 and 451530
15 and 1782670

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