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What is the Least Common Multiple of 93104 and 93124?

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 93104 and 93124 is 2167554224.

LCM(93104,93124) = 2167554224

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Least Common Multiple of 93104 and 93124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93104 and 93124, than apply into the LCM equation.

GCF(93104,93124) = 4
LCM(93104,93124) = ( 93104 × 93124) / 4
LCM(93104,93124) = 8670216896 / 4
LCM(93104,93124) = 2167554224

Least Common Multiple (LCM) of 93104 and 93124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93104 and 93124. First we will calculate the prime factors of 93104 and 93124.

Prime Factorization of 93104

Prime factors of 93104 are 2, 11, 23. Prime factorization of 93104 in exponential form is:

93104 = 24 × 111 × 232

Prime Factorization of 93124

Prime factors of 93124 are 2, 31, 751. Prime factorization of 93124 in exponential form is:

93124 = 22 × 311 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 93104 and 93124.

LCM(93104,93124) = 24 × 111 × 232 × 311 × 7511
LCM(93104,93124) = 2167554224