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Least Common Multiple (LCM) of 46 and 98

The least common multiple (LCM) of 46 and 98 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 46 and 98?

First, calculate the GCD of 46 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 46 ÷ 98 = 0 remainder 46
2 98 ÷ 46 = 2 remainder 6
3 46 ÷ 6 = 7 remainder 4
4 6 ÷ 4 = 1 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
151 and 17526425
40 and 35280
30 and 132660
40 and 22440
51 and 1382346

Try Calculating LCM of Other Numbers







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