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What is the Least Common Multiple of 91427 and 91432?

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 91427 and 91432 is 8359353464.

LCM(91427,91432) = 8359353464

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Least Common Multiple of 91427 and 91432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91427 and 91432, than apply into the LCM equation.

GCF(91427,91432) = 1
LCM(91427,91432) = ( 91427 × 91432) / 1
LCM(91427,91432) = 8359353464 / 1
LCM(91427,91432) = 8359353464

Least Common Multiple (LCM) of 91427 and 91432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91427 and 91432. First we will calculate the prime factors of 91427 and 91432.

Prime Factorization of 91427

Prime factors of 91427 are 7, 37, 353. Prime factorization of 91427 in exponential form is:

91427 = 71 × 371 × 3531

Prime Factorization of 91432

Prime factors of 91432 are 2, 11, 1039. Prime factorization of 91432 in exponential form is:

91432 = 23 × 111 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 91427 and 91432.

LCM(91427,91432) = 71 × 371 × 3531 × 23 × 111 × 10391
LCM(91427,91432) = 8359353464