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What is the Least Common Multiple of 55724 and 55730?

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 55724 and 55730 is 1552749260.

LCM(55724,55730) = 1552749260

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Least Common Multiple of 55724 and 55730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55724 and 55730, than apply into the LCM equation.

GCF(55724,55730) = 2
LCM(55724,55730) = ( 55724 × 55730) / 2
LCM(55724,55730) = 3105498520 / 2
LCM(55724,55730) = 1552749260

Least Common Multiple (LCM) of 55724 and 55730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55724 and 55730. First we will calculate the prime factors of 55724 and 55730.

Prime Factorization of 55724

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

55724 = 22 × 139311

Prime Factorization of 55730

Prime factors of 55730 are 2, 5, 5573. Prime factorization of 55730 in exponential form is:

55730 = 21 × 51 × 55731

Now multiplying the highest exponent prime factors to calculate the LCM of 55724 and 55730.

LCM(55724,55730) = 22 × 139311 × 51 × 55731
LCM(55724,55730) = 1552749260