What is the Least Common Multiple of 73647 and 73659?

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 73647 and 73659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73647 and 73659, than apply into the LCM equation.

GCF(73647,73659) = 3
LCM(73647,73659) = ( 73647 × 73659) / 3
LCM(73647,73659) = 5424764373 / 3
LCM(73647,73659) = 1808254791

Least Common Multiple (LCM) of 73647 and 73659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73647 and 73659. First we will calculate the prime factors of 73647 and 73659.

Prime Factorization of 73647

Prime Factorization of 73659

Now multiplying the highest exponent prime factors to calculate the LCM of 73647 and 73659.

LCM(73647,73659) = 3² × 7² × 167¹ × 43¹ × 571¹
LCM(73647,73659) = 1808254791