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What is the Least Common Multiple of 91413 and 91422?

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 91413 and 91422 is 928573254.

LCM(91413,91422) = 928573254

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Least Common Multiple of 91413 and 91422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91413 and 91422, than apply into the LCM equation.

GCF(91413,91422) = 9
LCM(91413,91422) = ( 91413 × 91422) / 9
LCM(91413,91422) = 8357159286 / 9
LCM(91413,91422) = 928573254

Least Common Multiple (LCM) of 91413 and 91422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91413 and 91422. First we will calculate the prime factors of 91413 and 91422.

Prime Factorization of 91413

Prime factors of 91413 are 3, 7, 1451. Prime factorization of 91413 in exponential form is:

91413 = 32 × 71 × 14511

Prime Factorization of 91422

Prime factors of 91422 are 2, 3, 1693. Prime factorization of 91422 in exponential form is:

91422 = 21 × 33 × 16931

Now multiplying the highest exponent prime factors to calculate the LCM of 91413 and 91422.

LCM(91413,91422) = 33 × 71 × 14511 × 21 × 16931
LCM(91413,91422) = 928573254