What is the Least Common Multiple of 47758 and 47772?

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 47758 and 47772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47758 and 47772, than apply into the LCM equation.

GCF(47758,47772) = 2
LCM(47758,47772) = ( 47758 × 47772) / 2
LCM(47758,47772) = 2281495176 / 2
LCM(47758,47772) = 1140747588

Least Common Multiple (LCM) of 47758 and 47772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47758 and 47772. First we will calculate the prime factors of 47758 and 47772.

Prime Factorization of 47758

Prime Factorization of 47772

Now multiplying the highest exponent prime factors to calculate the LCM of 47758 and 47772.

LCM(47758,47772) = 2² × 23879¹ × 3² × 1327¹
LCM(47758,47772) = 1140747588