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What is the Least Common Multiple of 54355 and 54360?

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 54355 and 54360 is 590947560.

LCM(54355,54360) = 590947560

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Least Common Multiple of 54355 and 54360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54355 and 54360, than apply into the LCM equation.

GCF(54355,54360) = 5
LCM(54355,54360) = ( 54355 × 54360) / 5
LCM(54355,54360) = 2954737800 / 5
LCM(54355,54360) = 590947560

Least Common Multiple (LCM) of 54355 and 54360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54355 and 54360. First we will calculate the prime factors of 54355 and 54360.

Prime Factorization of 54355

Prime factors of 54355 are 5, 7, 1553. Prime factorization of 54355 in exponential form is:

54355 = 51 × 71 × 15531

Prime Factorization of 54360

Prime factors of 54360 are 2, 3, 5, 151. Prime factorization of 54360 in exponential form is:

54360 = 23 × 32 × 51 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 54355 and 54360.

LCM(54355,54360) = 51 × 71 × 15531 × 23 × 32 × 1511
LCM(54355,54360) = 590947560