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What is the Least Common Multiple of 60584 and 60603?

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 60584 and 60603 is 3671572152.

LCM(60584,60603) = 3671572152

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Least Common Multiple of 60584 and 60603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60584 and 60603, than apply into the LCM equation.

GCF(60584,60603) = 1
LCM(60584,60603) = ( 60584 × 60603) / 1
LCM(60584,60603) = 3671572152 / 1
LCM(60584,60603) = 3671572152

Least Common Multiple (LCM) of 60584 and 60603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60584 and 60603. First we will calculate the prime factors of 60584 and 60603.

Prime Factorization of 60584

Prime factors of 60584 are 2, 7573. Prime factorization of 60584 in exponential form is:

60584 = 23 × 75731

Prime Factorization of 60603

Prime factors of 60603 are 3, 20201. Prime factorization of 60603 in exponential form is:

60603 = 31 × 202011

Now multiplying the highest exponent prime factors to calculate the LCM of 60584 and 60603.

LCM(60584,60603) = 23 × 75731 × 31 × 202011
LCM(60584,60603) = 3671572152