What is the Least Common Multiple of 7641 and 7659?

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 7641 and 7659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7641 and 7659, than apply into the LCM equation.

GCF(7641,7659) = 9
LCM(7641,7659) = ( 7641 × 7659) / 9
LCM(7641,7659) = 58522419 / 9
LCM(7641,7659) = 6502491

Least Common Multiple (LCM) of 7641 and 7659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7641 and 7659. First we will calculate the prime factors of 7641 and 7659.

Prime Factorization of 7641

Prime Factorization of 7659

Now multiplying the highest exponent prime factors to calculate the LCM of 7641 and 7659.

LCM(7641,7659) = 3³ × 283¹ × 23¹ × 37¹
LCM(7641,7659) = 6502491