What is the Least Common Multiple of 40280 and 40295?

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 40280 and 40295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40280 and 40295, than apply into the LCM equation.

GCF(40280,40295) = 5
LCM(40280,40295) = ( 40280 × 40295) / 5
LCM(40280,40295) = 1623082600 / 5
LCM(40280,40295) = 324616520

Least Common Multiple (LCM) of 40280 and 40295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40280 and 40295. First we will calculate the prime factors of 40280 and 40295.

Prime Factorization of 40280

Prime Factorization of 40295

Now multiplying the highest exponent prime factors to calculate the LCM of 40280 and 40295.

LCM(40280,40295) = 2³ × 5¹ × 19¹ × 53¹ × 8059¹
LCM(40280,40295) = 324616520