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What is the Least Common Multiple of 54878 and 54895?

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 54878 and 54895 is 3012527810.

LCM(54878,54895) = 3012527810

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Least Common Multiple of 54878 and 54895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54878 and 54895, than apply into the LCM equation.

GCF(54878,54895) = 1
LCM(54878,54895) = ( 54878 × 54895) / 1
LCM(54878,54895) = 3012527810 / 1
LCM(54878,54895) = 3012527810

Least Common Multiple (LCM) of 54878 and 54895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54878 and 54895. First we will calculate the prime factors of 54878 and 54895.

Prime Factorization of 54878

Prime factors of 54878 are 2, 23, 1193. Prime factorization of 54878 in exponential form is:

54878 = 21 × 231 × 11931

Prime Factorization of 54895

Prime factors of 54895 are 5, 10979. Prime factorization of 54895 in exponential form is:

54895 = 51 × 109791

Now multiplying the highest exponent prime factors to calculate the LCM of 54878 and 54895.

LCM(54878,54895) = 21 × 231 × 11931 × 51 × 109791
LCM(54878,54895) = 3012527810