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What is the Least Common Multiple of 55052 and 55060?

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 55052 and 55060 is 757790780.

LCM(55052,55060) = 757790780

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Least Common Multiple of 55052 and 55060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55052 and 55060, than apply into the LCM equation.

GCF(55052,55060) = 4
LCM(55052,55060) = ( 55052 × 55060) / 4
LCM(55052,55060) = 3031163120 / 4
LCM(55052,55060) = 757790780

Least Common Multiple (LCM) of 55052 and 55060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55052 and 55060. First we will calculate the prime factors of 55052 and 55060.

Prime Factorization of 55052

Prime factors of 55052 are 2, 13763. Prime factorization of 55052 in exponential form is:

55052 = 22 × 137631

Prime Factorization of 55060

Prime factors of 55060 are 2, 5, 2753. Prime factorization of 55060 in exponential form is:

55060 = 22 × 51 × 27531

Now multiplying the highest exponent prime factors to calculate the LCM of 55052 and 55060.

LCM(55052,55060) = 22 × 137631 × 51 × 27531
LCM(55052,55060) = 757790780