What is the Least Common Multiple of 40440 and 40460?

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 40440 and 40460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40440 and 40460, than apply into the LCM equation.

GCF(40440,40460) = 20
LCM(40440,40460) = ( 40440 × 40460) / 20
LCM(40440,40460) = 1636202400 / 20
LCM(40440,40460) = 81810120

Least Common Multiple (LCM) of 40440 and 40460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40440 and 40460. First we will calculate the prime factors of 40440 and 40460.

Prime Factorization of 40440

Prime Factorization of 40460

Now multiplying the highest exponent prime factors to calculate the LCM of 40440 and 40460.

LCM(40440,40460) = 2³ × 3¹ × 5¹ × 337¹ × 7¹ × 17²
LCM(40440,40460) = 81810120