What is the Least Common Multiple of 77758 and 77772?

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 77758 and 77772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77758 and 77772, than apply into the LCM equation.

GCF(77758,77772) = 2
LCM(77758,77772) = ( 77758 × 77772) / 2
LCM(77758,77772) = 6047395176 / 2
LCM(77758,77772) = 3023697588

Least Common Multiple (LCM) of 77758 and 77772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77758 and 77772. First we will calculate the prime factors of 77758 and 77772.

Prime Factorization of 77758

Prime Factorization of 77772

Now multiplying the highest exponent prime factors to calculate the LCM of 77758 and 77772.

LCM(77758,77772) = 2² × 17¹ × 2287¹ × 3¹ × 6481¹
LCM(77758,77772) = 3023697588