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What is the Least Common Multiple of 55722 and 55740?

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 55740 is 517657380.

LCM(55722,55740) = 517657380

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Least Common Multiple of 55722 and 55740 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 55740, than apply into the LCM equation.

GCF(55722,55740) = 6
LCM(55722,55740) = ( 55722 × 55740) / 6
LCM(55722,55740) = 3105944280 / 6
LCM(55722,55740) = 517657380

Least Common Multiple (LCM) of 55722 and 55740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55722 and 55740. First we will calculate the prime factors of 55722 and 55740.

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 55740

Prime factors of 55740 are 2, 3, 5, 929. Prime factorization of 55740 in exponential form is:

55740 = 22 × 31 × 51 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 55722 and 55740.

LCM(55722,55740) = 22 × 31 × 371 × 2511 × 51 × 9291
LCM(55722,55740) = 517657380