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Least Common Multiple (LCM) of 77 and 175

The least common multiple (LCM) of 77 and 175 is 1925.

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 77 and 175?

First, calculate the GCD of 77 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 77 ÷ 175 = 0 remainder 77
2 175 ÷ 77 = 2 remainder 21
3 77 ÷ 21 = 3 remainder 14
4 21 ÷ 14 = 1 remainder 7
5 14 ÷ 7 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
109 and 9610464
26 and 1381794
96 and 30480
77 and 937161
129 and 1566708

Try Calculating LCM of Other Numbers







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