What is the Least Common Multiple of 40704 and 40720?

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 40704 and 40720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40704 and 40720, than apply into the LCM equation.

GCF(40704,40720) = 16
LCM(40704,40720) = ( 40704 × 40720) / 16
LCM(40704,40720) = 1657466880 / 16
LCM(40704,40720) = 103591680

Least Common Multiple (LCM) of 40704 and 40720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40704 and 40720. First we will calculate the prime factors of 40704 and 40720.

Prime Factorization of 40704

Prime Factorization of 40720

Now multiplying the highest exponent prime factors to calculate the LCM of 40704 and 40720.

LCM(40704,40720) = 2⁸ × 3¹ × 53¹ × 5¹ × 509¹
LCM(40704,40720) = 103591680