What is the Least Common Multiple of 40720 and 40725?

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 40720 and 40725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40720 and 40725, than apply into the LCM equation.

GCF(40720,40725) = 5
LCM(40720,40725) = ( 40720 × 40725) / 5
LCM(40720,40725) = 1658322000 / 5
LCM(40720,40725) = 331664400

Least Common Multiple (LCM) of 40720 and 40725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40720 and 40725. First we will calculate the prime factors of 40720 and 40725.

Prime Factorization of 40720

Prime Factorization of 40725

Now multiplying the highest exponent prime factors to calculate the LCM of 40720 and 40725.

LCM(40720,40725) = 2⁴ × 5² × 509¹ × 3² × 181¹
LCM(40720,40725) = 331664400