What is the Least Common Multiple of 56508 and 56517?

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 of 56508 and 56517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56508 and 56517, than apply into the LCM equation.

GCF(56508,56517) = 3
LCM(56508,56517) = ( 56508 × 56517) / 3
LCM(56508,56517) = 3193662636 / 3
LCM(56508,56517) = 1064554212

Least Common Multiple (LCM) of 56508 and 56517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56508 and 56517. First we will calculate the prime factors of 56508 and 56517.

Prime Factorization of 56508

Prime Factorization of 56517

Now multiplying the highest exponent prime factors to calculate the LCM of 56508 and 56517.

LCM(56508,56517) = 2² × 3¹ × 17¹ × 277¹ × 18839¹
LCM(56508,56517) = 1064554212