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What is the Least Common Multiple of 56440 and 56444?

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 56440 and 56444 is 796424840.

LCM(56440,56444) = 796424840

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Least Common Multiple of 56440 and 56444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56440 and 56444, than apply into the LCM equation.

GCF(56440,56444) = 4
LCM(56440,56444) = ( 56440 × 56444) / 4
LCM(56440,56444) = 3185699360 / 4
LCM(56440,56444) = 796424840

Least Common Multiple (LCM) of 56440 and 56444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56440 and 56444. First we will calculate the prime factors of 56440 and 56444.

Prime Factorization of 56440

Prime factors of 56440 are 2, 5, 17, 83. Prime factorization of 56440 in exponential form is:

56440 = 23 × 51 × 171 × 831

Prime Factorization of 56444

Prime factors of 56444 are 2, 103, 137. Prime factorization of 56444 in exponential form is:

56444 = 22 × 1031 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 56440 and 56444.

LCM(56440,56444) = 23 × 51 × 171 × 831 × 1031 × 1371
LCM(56440,56444) = 796424840