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What is the Least Common Multiple of 55900 and 55918?

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 55900 and 55918 is 1562908100.

LCM(55900,55918) = 1562908100

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Least Common Multiple of 55900 and 55918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55900 and 55918, than apply into the LCM equation.

GCF(55900,55918) = 2
LCM(55900,55918) = ( 55900 × 55918) / 2
LCM(55900,55918) = 3125816200 / 2
LCM(55900,55918) = 1562908100

Least Common Multiple (LCM) of 55900 and 55918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55900 and 55918. First we will calculate the prime factors of 55900 and 55918.

Prime Factorization of 55900

Prime factors of 55900 are 2, 5, 13, 43. Prime factorization of 55900 in exponential form is:

55900 = 22 × 52 × 131 × 431

Prime Factorization of 55918

Prime factors of 55918 are 2, 73, 383. Prime factorization of 55918 in exponential form is:

55918 = 21 × 731 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 55900 and 55918.

LCM(55900,55918) = 22 × 52 × 131 × 431 × 731 × 3831
LCM(55900,55918) = 1562908100