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What is the Least Common Multiple of 55888 and 55908?

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 55888 and 55908 is 781146576.

LCM(55888,55908) = 781146576

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Least Common Multiple of 55888 and 55908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55888 and 55908, than apply into the LCM equation.

GCF(55888,55908) = 4
LCM(55888,55908) = ( 55888 × 55908) / 4
LCM(55888,55908) = 3124586304 / 4
LCM(55888,55908) = 781146576

Least Common Multiple (LCM) of 55888 and 55908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55888 and 55908. First we will calculate the prime factors of 55888 and 55908.

Prime Factorization of 55888

Prime factors of 55888 are 2, 7, 499. Prime factorization of 55888 in exponential form is:

55888 = 24 × 71 × 4991

Prime Factorization of 55908

Prime factors of 55908 are 2, 3, 1553. Prime factorization of 55908 in exponential form is:

55908 = 22 × 32 × 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 55888 and 55908.

LCM(55888,55908) = 24 × 71 × 4991 × 32 × 15531
LCM(55888,55908) = 781146576