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Least Common Multiple (LCM) of 101 and 98

The least common multiple (LCM) of 101 and 98 is 9898.

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 101 and 98?

First, calculate the GCD of 101 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 101 ÷ 98 = 1 remainder 3
2 98 ÷ 3 = 32 remainder 2
3 3 ÷ 2 = 1 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
174 and 403480
136 and 18925704
182 and 7313286
149 and 10014900
127 and 12515875

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