What is the Least Common Multiple of 73659 and 73665?

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 73659 and 73665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73659 and 73665, than apply into the LCM equation.

GCF(73659,73665) = 3
LCM(73659,73665) = ( 73659 × 73665) / 3
LCM(73659,73665) = 5426090235 / 3
LCM(73659,73665) = 1808696745

Least Common Multiple (LCM) of 73659 and 73665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73659 and 73665. First we will calculate the prime factors of 73659 and 73665.

Prime Factorization of 73659

Prime Factorization of 73665

Now multiplying the highest exponent prime factors to calculate the LCM of 73659 and 73665.

LCM(73659,73665) = 3² × 43¹ × 571¹ × 5¹ × 1637¹
LCM(73659,73665) = 1808696745