What is the Least Common Multiple of 47704 and 47723?

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 47704 and 47723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47704 and 47723, than apply into the LCM equation.

GCF(47704,47723) = 1
LCM(47704,47723) = ( 47704 × 47723) / 1
LCM(47704,47723) = 2276577992 / 1
LCM(47704,47723) = 2276577992

Least Common Multiple (LCM) of 47704 and 47723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47704 and 47723. First we will calculate the prime factors of 47704 and 47723.

Prime Factorization of 47704

Prime Factorization of 47723

Now multiplying the highest exponent prime factors to calculate the LCM of 47704 and 47723.

LCM(47704,47723) = 2³ × 67¹ × 89¹ × 13¹ × 3671¹
LCM(47704,47723) = 2276577992