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Least Common Multiple (LCM) of 142 and 169

The least common multiple (LCM) of 142 and 169 is 23998.

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 142 and 169?

First, calculate the GCD of 142 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 142 ÷ 169 = 0 remainder 142
2 169 ÷ 142 = 1 remainder 27
3 142 ÷ 27 = 5 remainder 7
4 27 ÷ 7 = 3 remainder 6
5 7 ÷ 6 = 1 remainder 1
6 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
66 and 1773894
114 and 1294902
161 and 8213202
137 and 15821646
165 and 19432010

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