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Least Common Multiple (LCM) of 188 and 101

The least common multiple (LCM) of 188 and 101 is 18988.

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 188 and 101?

First, calculate the GCD of 188 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 188 ÷ 101 = 1 remainder 87
2 101 ÷ 87 = 1 remainder 14
3 87 ÷ 14 = 6 remainder 3
4 14 ÷ 3 = 4 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
94 and 743478
86 and 1747482
78 and 1321716
30 and 1171170
169 and 213549

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