What is the Least Common Multiple of 56539 and 56546?

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 56539 and 56546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56539 and 56546, than apply into the LCM equation.

GCF(56539,56546) = 7
LCM(56539,56546) = ( 56539 × 56546) / 7
LCM(56539,56546) = 3197054294 / 7
LCM(56539,56546) = 456722042

Least Common Multiple (LCM) of 56539 and 56546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56539 and 56546. First we will calculate the prime factors of 56539 and 56546.

Prime Factorization of 56539

Prime Factorization of 56546

Now multiplying the highest exponent prime factors to calculate the LCM of 56539 and 56546.

LCM(56539,56546) = 7² × 41¹ × 197¹ × 2¹ × 577¹
LCM(56539,56546) = 456722042