What is the Least Common Multiple of 40260 and 40265?

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 40260 and 40265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40260 and 40265, than apply into the LCM equation.

GCF(40260,40265) = 5
LCM(40260,40265) = ( 40260 × 40265) / 5
LCM(40260,40265) = 1621068900 / 5
LCM(40260,40265) = 324213780

Least Common Multiple (LCM) of 40260 and 40265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40260 and 40265. First we will calculate the prime factors of 40260 and 40265.

Prime Factorization of 40260

Prime Factorization of 40265

Now multiplying the highest exponent prime factors to calculate the LCM of 40260 and 40265.

LCM(40260,40265) = 2² × 3¹ × 5¹ × 11¹ × 61¹ × 8053¹
LCM(40260,40265) = 324213780