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What is the Least Common Multiple of 93561 and 93572?

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 93561 and 93572 is 8754689892.

LCM(93561,93572) = 8754689892

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Least Common Multiple of 93561 and 93572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93561 and 93572, than apply into the LCM equation.

GCF(93561,93572) = 1
LCM(93561,93572) = ( 93561 × 93572) / 1
LCM(93561,93572) = 8754689892 / 1
LCM(93561,93572) = 8754689892

Least Common Multiple (LCM) of 93561 and 93572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93561 and 93572. First we will calculate the prime factors of 93561 and 93572.

Prime Factorization of 93561

Prime factors of 93561 are 3, 13, 2399. Prime factorization of 93561 in exponential form is:

93561 = 31 × 131 × 23991

Prime Factorization of 93572

Prime factors of 93572 are 2, 149, 157. Prime factorization of 93572 in exponential form is:

93572 = 22 × 1491 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 93561 and 93572.

LCM(93561,93572) = 31 × 131 × 23991 × 22 × 1491 × 1571
LCM(93561,93572) = 8754689892