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What is the Least Common Multiple of 55720 and 55724?

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 55724 is 776235320.

LCM(55720,55724) = 776235320

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Least Common Multiple of 55720 and 55724 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 55724, than apply into the LCM equation.

GCF(55720,55724) = 4
LCM(55720,55724) = ( 55720 × 55724) / 4
LCM(55720,55724) = 3104941280 / 4
LCM(55720,55724) = 776235320

Least Common Multiple (LCM) of 55720 and 55724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55720 and 55724. First we will calculate the prime factors of 55720 and 55724.

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 55724

Prime factors of 55724 are 2, 13931. Prime factorization of 55724 in exponential form is:

55724 = 22 × 139311

Now multiplying the highest exponent prime factors to calculate the LCM of 55720 and 55724.

LCM(55720,55724) = 23 × 51 × 71 × 1991 × 139311
LCM(55720,55724) = 776235320