What is the Least Common Multiple of 56564 and 56575?

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 56564 and 56575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56564 and 56575, than apply into the LCM equation.

GCF(56564,56575) = 1
LCM(56564,56575) = ( 56564 × 56575) / 1
LCM(56564,56575) = 3200108300 / 1
LCM(56564,56575) = 3200108300

Least Common Multiple (LCM) of 56564 and 56575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56564 and 56575. First we will calculate the prime factors of 56564 and 56575.

Prime Factorization of 56564

Prime Factorization of 56575

Now multiplying the highest exponent prime factors to calculate the LCM of 56564 and 56575.

LCM(56564,56575) = 2² × 79¹ × 179¹ × 5² × 31¹ × 73¹
LCM(56564,56575) = 3200108300