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What is the Least Common Multiple of 54023 and 54028?

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 54023 and 54028 is 2918754644.

LCM(54023,54028) = 2918754644

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Least Common Multiple of 54023 and 54028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54023 and 54028, than apply into the LCM equation.

GCF(54023,54028) = 1
LCM(54023,54028) = ( 54023 × 54028) / 1
LCM(54023,54028) = 2918754644 / 1
LCM(54023,54028) = 2918754644

Least Common Multiple (LCM) of 54023 and 54028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54023 and 54028. First we will calculate the prime factors of 54023 and 54028.

Prime Factorization of 54023

Prime factors of 54023 are 89, 607. Prime factorization of 54023 in exponential form is:

54023 = 891 × 6071

Prime Factorization of 54028

Prime factors of 54028 are 2, 13, 1039. Prime factorization of 54028 in exponential form is:

54028 = 22 × 131 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 54023 and 54028.

LCM(54023,54028) = 891 × 6071 × 22 × 131 × 10391
LCM(54023,54028) = 2918754644