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What is the Least Common Multiple of 54448 and 54460?

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 54448 and 54460 is 741309520.

LCM(54448,54460) = 741309520

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Least Common Multiple of 54448 and 54460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54448 and 54460, than apply into the LCM equation.

GCF(54448,54460) = 4
LCM(54448,54460) = ( 54448 × 54460) / 4
LCM(54448,54460) = 2965238080 / 4
LCM(54448,54460) = 741309520

Least Common Multiple (LCM) of 54448 and 54460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54448 and 54460. First we will calculate the prime factors of 54448 and 54460.

Prime Factorization of 54448

Prime factors of 54448 are 2, 41, 83. Prime factorization of 54448 in exponential form is:

54448 = 24 × 411 × 831

Prime Factorization of 54460

Prime factors of 54460 are 2, 5, 7, 389. Prime factorization of 54460 in exponential form is:

54460 = 22 × 51 × 71 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 54448 and 54460.

LCM(54448,54460) = 24 × 411 × 831 × 51 × 71 × 3891
LCM(54448,54460) = 741309520