What is the Least Common Multiple of 56767 and 56785?

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 56767 and 56785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56767 and 56785, than apply into the LCM equation.

GCF(56767,56785) = 1
LCM(56767,56785) = ( 56767 × 56785) / 1
LCM(56767,56785) = 3223514095 / 1
LCM(56767,56785) = 3223514095

Least Common Multiple (LCM) of 56767 and 56785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56767 and 56785. First we will calculate the prime factors of 56767 and 56785.

Prime Factorization of 56767

Prime Factorization of 56785

Now multiplying the highest exponent prime factors to calculate the LCM of 56767 and 56785.

LCM(56767,56785) = 56767¹ × 5¹ × 41¹ × 277¹
LCM(56767,56785) = 3223514095