What is the Least Common Multiple of 40460 and 40465?

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 40460 and 40465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40460 and 40465, than apply into the LCM equation.

GCF(40460,40465) = 5
LCM(40460,40465) = ( 40460 × 40465) / 5
LCM(40460,40465) = 1637213900 / 5
LCM(40460,40465) = 327442780

Least Common Multiple (LCM) of 40460 and 40465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40460 and 40465. First we will calculate the prime factors of 40460 and 40465.

Prime Factorization of 40460

Prime Factorization of 40465

Now multiplying the highest exponent prime factors to calculate the LCM of 40460 and 40465.

LCM(40460,40465) = 2² × 5¹ × 7¹ × 17² × 8093¹
LCM(40460,40465) = 327442780