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Least Common Multiple (LCM) of 49 and 46

The least common multiple (LCM) of 49 and 46 is 2254.

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 49 and 46?

First, calculate the GCD of 49 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 49 ÷ 46 = 1 remainder 3
2 46 ÷ 3 = 15 remainder 1
3 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
164 and 1109020
63 and 511071
53 and 542862
76 and 634788
104 and 1602080

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