What is the Least Common Multiple of 40518 and 40523?

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 40518 and 40523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40518 and 40523, than apply into the LCM equation.

GCF(40518,40523) = 1
LCM(40518,40523) = ( 40518 × 40523) / 1
LCM(40518,40523) = 1641910914 / 1
LCM(40518,40523) = 1641910914

Least Common Multiple (LCM) of 40518 and 40523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40518 and 40523. First we will calculate the prime factors of 40518 and 40523.

Prime Factorization of 40518

Prime Factorization of 40523

Now multiplying the highest exponent prime factors to calculate the LCM of 40518 and 40523.

LCM(40518,40523) = 2¹ × 3² × 2251¹ × 7² × 827¹
LCM(40518,40523) = 1641910914