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What is the Least Common Multiple of 54879 and 54892?

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 54879 and 54892 is 3012418068.

LCM(54879,54892) = 3012418068

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Least Common Multiple of 54879 and 54892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54879 and 54892, than apply into the LCM equation.

GCF(54879,54892) = 1
LCM(54879,54892) = ( 54879 × 54892) / 1
LCM(54879,54892) = 3012418068 / 1
LCM(54879,54892) = 3012418068

Least Common Multiple (LCM) of 54879 and 54892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54879 and 54892. First we will calculate the prime factors of 54879 and 54892.

Prime Factorization of 54879

Prime factors of 54879 are 3, 11, 1663. Prime factorization of 54879 in exponential form is:

54879 = 31 × 111 × 16631

Prime Factorization of 54892

Prime factors of 54892 are 2, 13723. Prime factorization of 54892 in exponential form is:

54892 = 22 × 137231

Now multiplying the highest exponent prime factors to calculate the LCM of 54879 and 54892.

LCM(54879,54892) = 31 × 111 × 16631 × 22 × 137231
LCM(54879,54892) = 3012418068