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What is the Least Common Multiple of 54913 and 54928?

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 54913 and 54928 is 3016261264.

LCM(54913,54928) = 3016261264

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Least Common Multiple of 54913 and 54928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54913 and 54928, than apply into the LCM equation.

GCF(54913,54928) = 1
LCM(54913,54928) = ( 54913 × 54928) / 1
LCM(54913,54928) = 3016261264 / 1
LCM(54913,54928) = 3016261264

Least Common Multiple (LCM) of 54913 and 54928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54913 and 54928. First we will calculate the prime factors of 54913 and 54928.

Prime Factorization of 54913

Prime factors of 54913 are 89, 617. Prime factorization of 54913 in exponential form is:

54913 = 891 × 6171

Prime Factorization of 54928

Prime factors of 54928 are 2, 3433. Prime factorization of 54928 in exponential form is:

54928 = 24 × 34331

Now multiplying the highest exponent prime factors to calculate the LCM of 54913 and 54928.

LCM(54913,54928) = 891 × 6171 × 24 × 34331
LCM(54913,54928) = 3016261264