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What is the Least Common Multiple of 54875 and 54885?

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 54875 and 54885 is 602362875.

LCM(54875,54885) = 602362875

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Least Common Multiple of 54875 and 54885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54875 and 54885, than apply into the LCM equation.

GCF(54875,54885) = 5
LCM(54875,54885) = ( 54875 × 54885) / 5
LCM(54875,54885) = 3011814375 / 5
LCM(54875,54885) = 602362875

Least Common Multiple (LCM) of 54875 and 54885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54875 and 54885. First we will calculate the prime factors of 54875 and 54885.

Prime Factorization of 54875

Prime factors of 54875 are 5, 439. Prime factorization of 54875 in exponential form is:

54875 = 53 × 4391

Prime Factorization of 54885

Prime factors of 54885 are 3, 5, 3659. Prime factorization of 54885 in exponential form is:

54885 = 31 × 51 × 36591

Now multiplying the highest exponent prime factors to calculate the LCM of 54875 and 54885.

LCM(54875,54885) = 53 × 4391 × 31 × 36591
LCM(54875,54885) = 602362875