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What is the Least Common Multiple of 91614 and 91629?

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 91614 and 91629 is 2798166402.

LCM(91614,91629) = 2798166402

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Least Common Multiple of 91614 and 91629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91614 and 91629, than apply into the LCM equation.

GCF(91614,91629) = 3
LCM(91614,91629) = ( 91614 × 91629) / 3
LCM(91614,91629) = 8394499206 / 3
LCM(91614,91629) = 2798166402

Least Common Multiple (LCM) of 91614 and 91629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91614 and 91629. First we will calculate the prime factors of 91614 and 91629.

Prime Factorization of 91614

Prime factors of 91614 are 2, 3, 15269. Prime factorization of 91614 in exponential form is:

91614 = 21 × 31 × 152691

Prime Factorization of 91629

Prime factors of 91629 are 3, 10181. Prime factorization of 91629 in exponential form is:

91629 = 32 × 101811

Now multiplying the highest exponent prime factors to calculate the LCM of 91614 and 91629.

LCM(91614,91629) = 21 × 32 × 152691 × 101811
LCM(91614,91629) = 2798166402