What is the Least Common Multiple of 88646 and 88659?

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 88646 and 88659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88646 and 88659, than apply into the LCM equation.

GCF(88646,88659) = 1
LCM(88646,88659) = ( 88646 × 88659) / 1
LCM(88646,88659) = 7859265714 / 1
LCM(88646,88659) = 7859265714

Least Common Multiple (LCM) of 88646 and 88659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88646 and 88659. First we will calculate the prime factors of 88646 and 88659.

Prime Factorization of 88646

Prime Factorization of 88659

Now multiplying the highest exponent prime factors to calculate the LCM of 88646 and 88659.

LCM(88646,88659) = 2¹ × 127¹ × 349¹ × 3² × 9851¹
LCM(88646,88659) = 7859265714