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What is the Least Common Multiple of 56280 and 56296?

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 56280 and 56296 is 396042360.

LCM(56280,56296) = 396042360

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Least Common Multiple of 56280 and 56296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56280 and 56296, than apply into the LCM equation.

GCF(56280,56296) = 8
LCM(56280,56296) = ( 56280 × 56296) / 8
LCM(56280,56296) = 3168338880 / 8
LCM(56280,56296) = 396042360

Least Common Multiple (LCM) of 56280 and 56296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56280 and 56296. First we will calculate the prime factors of 56280 and 56296.

Prime Factorization of 56280

Prime factors of 56280 are 2, 3, 5, 7, 67. Prime factorization of 56280 in exponential form is:

56280 = 23 × 31 × 51 × 71 × 671

Prime Factorization of 56296

Prime factors of 56296 are 2, 31, 227. Prime factorization of 56296 in exponential form is:

56296 = 23 × 311 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 56280 and 56296.

LCM(56280,56296) = 23 × 31 × 51 × 71 × 671 × 311 × 2271
LCM(56280,56296) = 396042360