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What is the Least Common Multiple of 54667 and 54672?

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 54667 and 54672 is 2988754224.

LCM(54667,54672) = 2988754224

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Least Common Multiple of 54667 and 54672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54667 and 54672, than apply into the LCM equation.

GCF(54667,54672) = 1
LCM(54667,54672) = ( 54667 × 54672) / 1
LCM(54667,54672) = 2988754224 / 1
LCM(54667,54672) = 2988754224

Least Common Multiple (LCM) of 54667 and 54672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54667 and 54672. First we will calculate the prime factors of 54667 and 54672.

Prime Factorization of 54667

Prime factors of 54667 are 54667. Prime factorization of 54667 in exponential form is:

54667 = 546671

Prime Factorization of 54672

Prime factors of 54672 are 2, 3, 17, 67. Prime factorization of 54672 in exponential form is:

54672 = 24 × 31 × 171 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 54667 and 54672.

LCM(54667,54672) = 546671 × 24 × 31 × 171 × 671
LCM(54667,54672) = 2988754224