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What is the Least Common Multiple of 93768 and 93772?

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 93768 and 93772 is 2198203224.

LCM(93768,93772) = 2198203224

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Least Common Multiple of 93768 and 93772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93768 and 93772, than apply into the LCM equation.

GCF(93768,93772) = 4
LCM(93768,93772) = ( 93768 × 93772) / 4
LCM(93768,93772) = 8792812896 / 4
LCM(93768,93772) = 2198203224

Least Common Multiple (LCM) of 93768 and 93772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93768 and 93772. First we will calculate the prime factors of 93768 and 93772.

Prime Factorization of 93768

Prime factors of 93768 are 2, 3, 3907. Prime factorization of 93768 in exponential form is:

93768 = 23 × 31 × 39071

Prime Factorization of 93772

Prime factors of 93772 are 2, 7, 17, 197. Prime factorization of 93772 in exponential form is:

93772 = 22 × 71 × 171 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 93768 and 93772.

LCM(93768,93772) = 23 × 31 × 39071 × 71 × 171 × 1971
LCM(93768,93772) = 2198203224