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What is the Least Common Multiple of 56267 and 56280?

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 56267 and 56280 is 3166706760.

LCM(56267,56280) = 3166706760

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Least Common Multiple of 56267 and 56280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56267 and 56280, than apply into the LCM equation.

GCF(56267,56280) = 1
LCM(56267,56280) = ( 56267 × 56280) / 1
LCM(56267,56280) = 3166706760 / 1
LCM(56267,56280) = 3166706760

Least Common Multiple (LCM) of 56267 and 56280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56267 and 56280. First we will calculate the prime factors of 56267 and 56280.

Prime Factorization of 56267

Prime factors of 56267 are 56267. Prime factorization of 56267 in exponential form is:

56267 = 562671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 56267 and 56280.

LCM(56267,56280) = 562671 × 23 × 31 × 51 × 71 × 671
LCM(56267,56280) = 3166706760