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What is the Least Common Multiple of 10604 and 10624?

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 10604 and 10624 is 28164224.

LCM(10604,10624) = 28164224

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Least Common Multiple of 10604 and 10624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10604 and 10624, than apply into the LCM equation.

GCF(10604,10624) = 4
LCM(10604,10624) = ( 10604 × 10624) / 4
LCM(10604,10624) = 112656896 / 4
LCM(10604,10624) = 28164224

Least Common Multiple (LCM) of 10604 and 10624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10604 and 10624. First we will calculate the prime factors of 10604 and 10624.

Prime Factorization of 10604

Prime factors of 10604 are 2, 11, 241. Prime factorization of 10604 in exponential form is:

10604 = 22 × 111 × 2411

Prime Factorization of 10624

Prime factors of 10624 are 2, 83. Prime factorization of 10624 in exponential form is:

10624 = 27 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 10604 and 10624.

LCM(10604,10624) = 27 × 111 × 2411 × 831
LCM(10604,10624) = 28164224