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Least Common Multiple (LCM) of 22 and 169

The least common multiple (LCM) of 22 and 169 is 3718.

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 22 and 169?

First, calculate the GCD of 22 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 22 ÷ 169 = 0 remainder 22
2 169 ÷ 22 = 7 remainder 15
3 22 ÷ 15 = 1 remainder 7
4 15 ÷ 7 = 2 remainder 1
5 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
146 and 241752
41 and 1476027
114 and 1475586
31 and 29899
179 and 335907

Try Calculating LCM of Other Numbers







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