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What is the Least Common Multiple of 54653 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 54653 and 54672 is 2987988816.

LCM(54653,54672) = 2987988816

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Least Common Multiple of 54653 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 54653 and 54672, than apply into the LCM equation.

GCF(54653,54672) = 1
LCM(54653,54672) = ( 54653 × 54672) / 1
LCM(54653,54672) = 2987988816 / 1
LCM(54653,54672) = 2987988816

Least Common Multiple (LCM) of 54653 and 54672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54653 and 54672. First we will calculate the prime factors of 54653 and 54672.

Prime Factorization of 54653

Prime factors of 54653 are 31, 41, 43. Prime factorization of 54653 in exponential form is:

54653 = 311 × 411 × 431

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 54653 and 54672.

LCM(54653,54672) = 311 × 411 × 431 × 24 × 31 × 171 × 671
LCM(54653,54672) = 2987988816