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What is the Least Common Multiple of 65917 and 65932?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 65917 and 65932 is 4346039644.

LCM(65917,65932) = 4346039644

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Least Common Multiple of 65917 and 65932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65917 and 65932, than apply into the LCM equation.

GCF(65917,65932) = 1
LCM(65917,65932) = ( 65917 × 65932) / 1
LCM(65917,65932) = 4346039644 / 1
LCM(65917,65932) = 4346039644

Least Common Multiple (LCM) of 65917 and 65932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65917 and 65932. First we will calculate the prime factors of 65917 and 65932.

Prime Factorization of 65917

Prime factors of 65917 are 29, 2273. Prime factorization of 65917 in exponential form is:

65917 = 291 × 22731

Prime Factorization of 65932

Prime factors of 65932 are 2, 53, 311. Prime factorization of 65932 in exponential form is:

65932 = 22 × 531 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 65917 and 65932.

LCM(65917,65932) = 291 × 22731 × 22 × 531 × 3111
LCM(65917,65932) = 4346039644