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What is the Least Common Multiple of 91525 and 91538?

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 91525 and 91538 is 8378015450.

LCM(91525,91538) = 8378015450

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Least Common Multiple of 91525 and 91538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91525 and 91538, than apply into the LCM equation.

GCF(91525,91538) = 1
LCM(91525,91538) = ( 91525 × 91538) / 1
LCM(91525,91538) = 8378015450 / 1
LCM(91525,91538) = 8378015450

Least Common Multiple (LCM) of 91525 and 91538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91525 and 91538. First we will calculate the prime factors of 91525 and 91538.

Prime Factorization of 91525

Prime factors of 91525 are 5, 7, 523. Prime factorization of 91525 in exponential form is:

91525 = 52 × 71 × 5231

Prime Factorization of 91538

Prime factors of 91538 are 2, 37, 1237. Prime factorization of 91538 in exponential form is:

91538 = 21 × 371 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 91525 and 91538.

LCM(91525,91538) = 52 × 71 × 5231 × 21 × 371 × 12371
LCM(91525,91538) = 8378015450