What is the Least Common Multiple of 40473 and 40485?

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 40473 and 40485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40473 and 40485, than apply into the LCM equation.

GCF(40473,40485) = 3
LCM(40473,40485) = ( 40473 × 40485) / 3
LCM(40473,40485) = 1638549405 / 3
LCM(40473,40485) = 546183135

Least Common Multiple (LCM) of 40473 and 40485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40473 and 40485. First we will calculate the prime factors of 40473 and 40485.

Prime Factorization of 40473

Prime Factorization of 40485

Now multiplying the highest exponent prime factors to calculate the LCM of 40473 and 40485.

LCM(40473,40485) = 3³ × 1499¹ × 5¹ × 2699¹
LCM(40473,40485) = 546183135