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Least Common Multiple (LCM) of 97 and 55

The least common multiple (LCM) of 97 and 55 is 5335.

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 97 and 55?

First, calculate the GCD of 97 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 97 ÷ 55 = 1 remainder 42
2 55 ÷ 42 = 1 remainder 13
3 42 ÷ 13 = 3 remainder 3
4 13 ÷ 3 = 4 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
43 and 281204
110 and 18320130
48 and 1532448
91 and 1951365
85 and 927820

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