What is the Least Common Multiple of 40575 and 40585?

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 40575 and 40585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40575 and 40585, than apply into the LCM equation.

GCF(40575,40585) = 5
LCM(40575,40585) = ( 40575 × 40585) / 5
LCM(40575,40585) = 1646736375 / 5
LCM(40575,40585) = 329347275

Least Common Multiple (LCM) of 40575 and 40585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40575 and 40585. First we will calculate the prime factors of 40575 and 40585.

Prime Factorization of 40575

Prime Factorization of 40585

Now multiplying the highest exponent prime factors to calculate the LCM of 40575 and 40585.

LCM(40575,40585) = 3¹ × 5² × 541¹ × 8117¹
LCM(40575,40585) = 329347275