What is the Least Common Multiple of 40505 and 40515?

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 40505 and 40515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40505 and 40515, than apply into the LCM equation.

GCF(40505,40515) = 5
LCM(40505,40515) = ( 40505 × 40515) / 5
LCM(40505,40515) = 1641060075 / 5
LCM(40505,40515) = 328212015

Least Common Multiple (LCM) of 40505 and 40515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40505 and 40515. First we will calculate the prime factors of 40505 and 40515.

Prime Factorization of 40505

Prime Factorization of 40515

Now multiplying the highest exponent prime factors to calculate the LCM of 40505 and 40515.

LCM(40505,40515) = 5¹ × 8101¹ × 3¹ × 37¹ × 73¹
LCM(40505,40515) = 328212015