What is the Least Common Multiple of 73986 and 74005?

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 73986 and 74005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73986 and 74005, than apply into the LCM equation.

GCF(73986,74005) = 19
LCM(73986,74005) = ( 73986 × 74005) / 19
LCM(73986,74005) = 5475333930 / 19
LCM(73986,74005) = 288175470

Least Common Multiple (LCM) of 73986 and 74005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73986 and 74005. First we will calculate the prime factors of 73986 and 74005.

Prime Factorization of 73986

Prime Factorization of 74005

Now multiplying the highest exponent prime factors to calculate the LCM of 73986 and 74005.

LCM(73986,74005) = 2¹ × 3¹ × 11¹ × 19² × 59¹ × 5¹ × 41¹
LCM(73986,74005) = 288175470