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What is the Least Common Multiple of 93577 and 93596?

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 93577 and 93596 is 8758432892.

LCM(93577,93596) = 8758432892

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Least Common Multiple of 93577 and 93596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93577 and 93596, than apply into the LCM equation.

GCF(93577,93596) = 1
LCM(93577,93596) = ( 93577 × 93596) / 1
LCM(93577,93596) = 8758432892 / 1
LCM(93577,93596) = 8758432892

Least Common Multiple (LCM) of 93577 and 93596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93577 and 93596. First we will calculate the prime factors of 93577 and 93596.

Prime Factorization of 93577

Prime factors of 93577 are 11, 47, 181. Prime factorization of 93577 in exponential form is:

93577 = 111 × 471 × 1811

Prime Factorization of 93596

Prime factors of 93596 are 2, 23399. Prime factorization of 93596 in exponential form is:

93596 = 22 × 233991

Now multiplying the highest exponent prime factors to calculate the LCM of 93577 and 93596.

LCM(93577,93596) = 111 × 471 × 1811 × 22 × 233991
LCM(93577,93596) = 8758432892