What is the Least Common Multiple of 91644 and 91653?

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 91653 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 91653, than apply into the LCM equation.

GCF(91644,91653) = 3
LCM(91644,91653) = ( 91644 × 91653) / 3
LCM(91644,91653) = 8399447532 / 3
LCM(91644,91653) = 2799815844

Least Common Multiple (LCM) of 91644 and 91653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91644 and 91653. First we will calculate the prime factors of 91644 and 91653.

Prime Factorization of 91644

Prime Factorization of 91653

Now multiplying the highest exponent prime factors to calculate the LCM of 91644 and 91653.

LCM(91644,91653) = 2² × 3¹ × 7¹ × 1091¹ × 137¹ × 223¹
LCM(91644,91653) = 2799815844