What is the Least Common Multiple of 88145 and 88165?

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 88145 and 88165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88145 and 88165, than apply into the LCM equation.

GCF(88145,88165) = 5
LCM(88145,88165) = ( 88145 × 88165) / 5
LCM(88145,88165) = 7771303925 / 5
LCM(88145,88165) = 1554260785

Least Common Multiple (LCM) of 88145 and 88165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88145 and 88165. First we will calculate the prime factors of 88145 and 88165.

Prime Factorization of 88145

Prime Factorization of 88165

Now multiplying the highest exponent prime factors to calculate the LCM of 88145 and 88165.

LCM(88145,88165) = 5¹ × 17² × 61¹ × 7¹ × 11¹ × 229¹
LCM(88145,88165) = 1554260785