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What is the Least Common Multiple of 55722 and 55728?

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 55722 and 55728 is 517545936.

LCM(55722,55728) = 517545936

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Least Common Multiple of 55722 and 55728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55722 and 55728, than apply into the LCM equation.

GCF(55722,55728) = 6
LCM(55722,55728) = ( 55722 × 55728) / 6
LCM(55722,55728) = 3105275616 / 6
LCM(55722,55728) = 517545936

Least Common Multiple (LCM) of 55722 and 55728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55722 and 55728. First we will calculate the prime factors of 55722 and 55728.

Prime Factorization of 55722

Prime factors of 55722 are 2, 3, 37, 251. Prime factorization of 55722 in exponential form is:

55722 = 21 × 31 × 371 × 2511

Prime Factorization of 55728

Prime factors of 55728 are 2, 3, 43. Prime factorization of 55728 in exponential form is:

55728 = 24 × 34 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 55722 and 55728.

LCM(55722,55728) = 24 × 34 × 371 × 2511 × 431
LCM(55722,55728) = 517545936