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Least Common Multiple (LCM) of 172 and 100

The least common multiple (LCM) of 172 and 100 is 4300.

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 172 and 100?

First, calculate the GCD of 172 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 172 ÷ 100 = 1 remainder 72
2 100 ÷ 72 = 1 remainder 28
3 72 ÷ 28 = 2 remainder 16
4 28 ÷ 16 = 1 remainder 12
5 16 ÷ 12 = 1 remainder 4
6 12 ÷ 4 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
178 and 7914062
150 and 987350
158 and 1088532
133 and 19926467
30 and 741110

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