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What is the Least Common Multiple of 24072 and 24083?

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 24072 and 24083 is 579725976.

LCM(24072,24083) = 579725976

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Least Common Multiple of 24072 and 24083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24072 and 24083, than apply into the LCM equation.

GCF(24072,24083) = 1
LCM(24072,24083) = ( 24072 × 24083) / 1
LCM(24072,24083) = 579725976 / 1
LCM(24072,24083) = 579725976

Least Common Multiple (LCM) of 24072 and 24083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24072 and 24083. First we will calculate the prime factors of 24072 and 24083.

Prime Factorization of 24072

Prime factors of 24072 are 2, 3, 17, 59. Prime factorization of 24072 in exponential form is:

24072 = 23 × 31 × 171 × 591

Prime Factorization of 24083

Prime factors of 24083 are 24083. Prime factorization of 24083 in exponential form is:

24083 = 240831

Now multiplying the highest exponent prime factors to calculate the LCM of 24072 and 24083.

LCM(24072,24083) = 23 × 31 × 171 × 591 × 240831
LCM(24072,24083) = 579725976