What is the Least Common Multiple of 41712 and 41723?

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 41712 and 41723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41712 and 41723, than apply into the LCM equation.

GCF(41712,41723) = 11
LCM(41712,41723) = ( 41712 × 41723) / 11
LCM(41712,41723) = 1740349776 / 11
LCM(41712,41723) = 158213616

Least Common Multiple (LCM) of 41712 and 41723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41712 and 41723. First we will calculate the prime factors of 41712 and 41723.

Prime Factorization of 41712

Prime Factorization of 41723

Now multiplying the highest exponent prime factors to calculate the LCM of 41712 and 41723.

LCM(41712,41723) = 2⁴ × 3¹ × 11¹ × 79¹ × 3793¹
LCM(41712,41723) = 158213616