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What is the Least Common Multiple of 54668 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 54668 and 54672 is 747202224.

LCM(54668,54672) = 747202224

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Least Common Multiple of 54668 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 54668 and 54672, than apply into the LCM equation.

GCF(54668,54672) = 4
LCM(54668,54672) = ( 54668 × 54672) / 4
LCM(54668,54672) = 2988808896 / 4
LCM(54668,54672) = 747202224

Least Common Multiple (LCM) of 54668 and 54672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54668 and 54672. First we will calculate the prime factors of 54668 and 54672.

Prime Factorization of 54668

Prime factors of 54668 are 2, 79, 173. Prime factorization of 54668 in exponential form is:

54668 = 22 × 791 × 1731

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 54668 and 54672.

LCM(54668,54672) = 24 × 791 × 1731 × 31 × 171 × 671
LCM(54668,54672) = 747202224