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What is the Least Common Multiple of 92574 and 92588?

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 92574 and 92588 is 4285620756.

LCM(92574,92588) = 4285620756

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Least Common Multiple of 92574 and 92588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92574 and 92588, than apply into the LCM equation.

GCF(92574,92588) = 2
LCM(92574,92588) = ( 92574 × 92588) / 2
LCM(92574,92588) = 8571241512 / 2
LCM(92574,92588) = 4285620756

Least Common Multiple (LCM) of 92574 and 92588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92574 and 92588. First we will calculate the prime factors of 92574 and 92588.

Prime Factorization of 92574

Prime factors of 92574 are 2, 3, 37, 139. Prime factorization of 92574 in exponential form is:

92574 = 21 × 32 × 371 × 1391

Prime Factorization of 92588

Prime factors of 92588 are 2, 79, 293. Prime factorization of 92588 in exponential form is:

92588 = 22 × 791 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 92574 and 92588.

LCM(92574,92588) = 22 × 32 × 371 × 1391 × 791 × 2931
LCM(92574,92588) = 4285620756