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What is the Least Common Multiple of 55044 and 55052?

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 55044 and 55052 is 757570572.

LCM(55044,55052) = 757570572

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Least Common Multiple of 55044 and 55052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55044 and 55052, than apply into the LCM equation.

GCF(55044,55052) = 4
LCM(55044,55052) = ( 55044 × 55052) / 4
LCM(55044,55052) = 3030282288 / 4
LCM(55044,55052) = 757570572

Least Common Multiple (LCM) of 55044 and 55052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55044 and 55052. First we will calculate the prime factors of 55044 and 55052.

Prime Factorization of 55044

Prime factors of 55044 are 2, 3, 11, 139. Prime factorization of 55044 in exponential form is:

55044 = 22 × 32 × 111 × 1391

Prime Factorization of 55052

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

55052 = 22 × 137631

Now multiplying the highest exponent prime factors to calculate the LCM of 55044 and 55052.

LCM(55044,55052) = 22 × 32 × 111 × 1391 × 137631
LCM(55044,55052) = 757570572