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Least Common Multiple (LCM) of 125 and 98

The least common multiple (LCM) of 125 and 98 is 12250.

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 125 and 98?

First, calculate the GCD of 125 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 125 ÷ 98 = 1 remainder 27
2 98 ÷ 27 = 3 remainder 17
3 27 ÷ 17 = 1 remainder 10
4 17 ÷ 10 = 1 remainder 7
5 10 ÷ 7 = 1 remainder 3
6 7 ÷ 3 = 2 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
42 and 761596
161 and 325152
129 and 162064
68 and 191292
32 and 46736

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