What is the Least Common Multiple of 47775 and 47791?

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 47775 and 47791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47775 and 47791, than apply into the LCM equation.

GCF(47775,47791) = 1
LCM(47775,47791) = ( 47775 × 47791) / 1
LCM(47775,47791) = 2283215025 / 1
LCM(47775,47791) = 2283215025

Least Common Multiple (LCM) of 47775 and 47791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47775 and 47791. First we will calculate the prime factors of 47775 and 47791.

Prime Factorization of 47775

Prime Factorization of 47791

Now multiplying the highest exponent prime factors to calculate the LCM of 47775 and 47791.

LCM(47775,47791) = 3¹ × 5² × 7² × 13¹ × 47791¹
LCM(47775,47791) = 2283215025