What is the Least Common Multiple of 91644 and 91659?

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 91644 and 91659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91644 and 91659, than apply into the LCM equation.

GCF(91644,91659) = 3
LCM(91644,91659) = ( 91644 × 91659) / 3
LCM(91644,91659) = 8399997396 / 3
LCM(91644,91659) = 2799999132

Least Common Multiple (LCM) of 91644 and 91659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91644 and 91659. First we will calculate the prime factors of 91644 and 91659.

Prime Factorization of 91644

Prime Factorization of 91659

Now multiplying the highest exponent prime factors to calculate the LCM of 91644 and 91659.

LCM(91644,91659) = 2² × 3¹ × 7¹ × 1091¹ × 30553¹
LCM(91644,91659) = 2799999132