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Least Common Multiple (LCM) of 91 and 38

The least common multiple (LCM) of 91 and 38 is 3458.

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 91 and 38?

First, calculate the GCD of 91 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 91 ÷ 38 = 2 remainder 15
2 38 ÷ 15 = 2 remainder 8
3 15 ÷ 8 = 1 remainder 7
4 8 ÷ 7 = 1 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
18 and 1818
54 and 48432
171 and 76684
98 and 16716366
153 and 1115661

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