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What is the Least Common Multiple of 55737 and 55748?

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 55737 and 55748 is 282475116.

LCM(55737,55748) = 282475116

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Least Common Multiple of 55737 and 55748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55737 and 55748, than apply into the LCM equation.

GCF(55737,55748) = 11
LCM(55737,55748) = ( 55737 × 55748) / 11
LCM(55737,55748) = 3107226276 / 11
LCM(55737,55748) = 282475116

Least Common Multiple (LCM) of 55737 and 55748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55737 and 55748. First we will calculate the prime factors of 55737 and 55748.

Prime Factorization of 55737

Prime factors of 55737 are 3, 11, 563. Prime factorization of 55737 in exponential form is:

55737 = 32 × 111 × 5631

Prime Factorization of 55748

Prime factors of 55748 are 2, 7, 11, 181. Prime factorization of 55748 in exponential form is:

55748 = 22 × 71 × 111 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 55737 and 55748.

LCM(55737,55748) = 32 × 111 × 5631 × 22 × 71 × 1811
LCM(55737,55748) = 282475116