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What is the Least Common Multiple of 54440 and 54456?

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 54440 and 54456 is 370573080.

LCM(54440,54456) = 370573080

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Least Common Multiple of 54440 and 54456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54440 and 54456, than apply into the LCM equation.

GCF(54440,54456) = 8
LCM(54440,54456) = ( 54440 × 54456) / 8
LCM(54440,54456) = 2964584640 / 8
LCM(54440,54456) = 370573080

Least Common Multiple (LCM) of 54440 and 54456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54440 and 54456. First we will calculate the prime factors of 54440 and 54456.

Prime Factorization of 54440

Prime factors of 54440 are 2, 5, 1361. Prime factorization of 54440 in exponential form is:

54440 = 23 × 51 × 13611

Prime Factorization of 54456

Prime factors of 54456 are 2, 3, 2269. Prime factorization of 54456 in exponential form is:

54456 = 23 × 31 × 22691

Now multiplying the highest exponent prime factors to calculate the LCM of 54440 and 54456.

LCM(54440,54456) = 23 × 51 × 13611 × 31 × 22691
LCM(54440,54456) = 370573080