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What is the Least Common Multiple of 91538 and 91555?

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 91538 and 91555 is 8380761590.

LCM(91538,91555) = 8380761590

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Least Common Multiple of 91538 and 91555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91538 and 91555, than apply into the LCM equation.

GCF(91538,91555) = 1
LCM(91538,91555) = ( 91538 × 91555) / 1
LCM(91538,91555) = 8380761590 / 1
LCM(91538,91555) = 8380761590

Least Common Multiple (LCM) of 91538 and 91555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91538 and 91555. First we will calculate the prime factors of 91538 and 91555.

Prime Factorization of 91538

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

91538 = 21 × 371 × 12371

Prime Factorization of 91555

Prime factors of 91555 are 5, 18311. Prime factorization of 91555 in exponential form is:

91555 = 51 × 183111

Now multiplying the highest exponent prime factors to calculate the LCM of 91538 and 91555.

LCM(91538,91555) = 21 × 371 × 12371 × 51 × 183111
LCM(91538,91555) = 8380761590