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What is the Least Common Multiple of 56280 and 56300?

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 56300 is 158428200.

LCM(56280,56300) = 158428200

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Least Common Multiple of 56280 and 56300 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 56300, than apply into the LCM equation.

GCF(56280,56300) = 20
LCM(56280,56300) = ( 56280 × 56300) / 20
LCM(56280,56300) = 3168564000 / 20
LCM(56280,56300) = 158428200

Least Common Multiple (LCM) of 56280 and 56300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56280 and 56300. First we will calculate the prime factors of 56280 and 56300.

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 56300

Prime factors of 56300 are 2, 5, 563. Prime factorization of 56300 in exponential form is:

56300 = 22 × 52 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 56280 and 56300.

LCM(56280,56300) = 23 × 31 × 52 × 71 × 671 × 5631
LCM(56280,56300) = 158428200