What is the Least Common Multiple of 47745 and 47755?

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 47745 and 47755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47745 and 47755, than apply into the LCM equation.

GCF(47745,47755) = 5
LCM(47745,47755) = ( 47745 × 47755) / 5
LCM(47745,47755) = 2280062475 / 5
LCM(47745,47755) = 456012495

Least Common Multiple (LCM) of 47745 and 47755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47745 and 47755. First we will calculate the prime factors of 47745 and 47755.

Prime Factorization of 47745

Prime Factorization of 47755

Now multiplying the highest exponent prime factors to calculate the LCM of 47745 and 47755.

LCM(47745,47755) = 3² × 5¹ × 1061¹ × 9551¹
LCM(47745,47755) = 456012495