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What is the Least Common Multiple of 91625 and 91632?

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 91625 and 91632 is 8395782000.

LCM(91625,91632) = 8395782000

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Least Common Multiple of 91625 and 91632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91625 and 91632, than apply into the LCM equation.

GCF(91625,91632) = 1
LCM(91625,91632) = ( 91625 × 91632) / 1
LCM(91625,91632) = 8395782000 / 1
LCM(91625,91632) = 8395782000

Least Common Multiple (LCM) of 91625 and 91632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91625 and 91632. First we will calculate the prime factors of 91625 and 91632.

Prime Factorization of 91625

Prime factors of 91625 are 5, 733. Prime factorization of 91625 in exponential form is:

91625 = 53 × 7331

Prime Factorization of 91632

Prime factors of 91632 are 2, 3, 23, 83. Prime factorization of 91632 in exponential form is:

91632 = 24 × 31 × 231 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 91625 and 91632.

LCM(91625,91632) = 53 × 7331 × 24 × 31 × 231 × 831
LCM(91625,91632) = 8395782000