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What is the Least Common Multiple of 6044 and 6053?

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 6044 and 6053 is 36584332.

LCM(6044,6053) = 36584332

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Least Common Multiple of 6044 and 6053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6044 and 6053, than apply into the LCM equation.

GCF(6044,6053) = 1
LCM(6044,6053) = ( 6044 × 6053) / 1
LCM(6044,6053) = 36584332 / 1
LCM(6044,6053) = 36584332

Least Common Multiple (LCM) of 6044 and 6053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6044 and 6053. First we will calculate the prime factors of 6044 and 6053.

Prime Factorization of 6044

Prime factors of 6044 are 2, 1511. Prime factorization of 6044 in exponential form is:

6044 = 22 × 15111

Prime Factorization of 6053

Prime factors of 6053 are 6053. Prime factorization of 6053 in exponential form is:

6053 = 60531

Now multiplying the highest exponent prime factors to calculate the LCM of 6044 and 6053.

LCM(6044,6053) = 22 × 15111 × 60531
LCM(6044,6053) = 36584332