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What is the Least Common Multiple of 91004 and 91023?

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 91004 and 91023 is 8283457092.

LCM(91004,91023) = 8283457092

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Least Common Multiple of 91004 and 91023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91004 and 91023, than apply into the LCM equation.

GCF(91004,91023) = 1
LCM(91004,91023) = ( 91004 × 91023) / 1
LCM(91004,91023) = 8283457092 / 1
LCM(91004,91023) = 8283457092

Least Common Multiple (LCM) of 91004 and 91023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91004 and 91023. First we will calculate the prime factors of 91004 and 91023.

Prime Factorization of 91004

Prime factors of 91004 are 2, 22751. Prime factorization of 91004 in exponential form is:

91004 = 22 × 227511

Prime Factorization of 91023

Prime factors of 91023 are 3, 30341. Prime factorization of 91023 in exponential form is:

91023 = 31 × 303411

Now multiplying the highest exponent prime factors to calculate the LCM of 91004 and 91023.

LCM(91004,91023) = 22 × 227511 × 31 × 303411
LCM(91004,91023) = 8283457092