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What is the Least Common Multiple of 55720 and 55737?

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 55720 and 55737 is 3105665640.

LCM(55720,55737) = 3105665640

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Least Common Multiple of 55720 and 55737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55720 and 55737, than apply into the LCM equation.

GCF(55720,55737) = 1
LCM(55720,55737) = ( 55720 × 55737) / 1
LCM(55720,55737) = 3105665640 / 1
LCM(55720,55737) = 3105665640

Least Common Multiple (LCM) of 55720 and 55737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55720 and 55737. First we will calculate the prime factors of 55720 and 55737.

Prime Factorization of 55720

Prime factors of 55720 are 2, 5, 7, 199. Prime factorization of 55720 in exponential form is:

55720 = 23 × 51 × 71 × 1991

Prime Factorization of 55737

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

55737 = 32 × 111 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 55720 and 55737.

LCM(55720,55737) = 23 × 51 × 71 × 1991 × 32 × 111 × 5631
LCM(55720,55737) = 3105665640