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Least Common Multiple (LCM) of 75 and 98

The least common multiple (LCM) of 75 and 98 is 7350.

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 75 and 98?

First, calculate the GCD of 75 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 75 ÷ 98 = 0 remainder 75
2 98 ÷ 75 = 1 remainder 23
3 75 ÷ 23 = 3 remainder 6
4 23 ÷ 6 = 3 remainder 5
5 6 ÷ 5 = 1 remainder 1
6 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
124 and 583596
134 and 302010
138 and 10915042
142 and 15010650
68 and 1121904

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