What is the Least Common Multiple of 91653 and 91672?

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 91653 and 91672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91653 and 91672, than apply into the LCM equation.

GCF(91653,91672) = 1
LCM(91653,91672) = ( 91653 × 91672) / 1
LCM(91653,91672) = 8402013816 / 1
LCM(91653,91672) = 8402013816

Least Common Multiple (LCM) of 91653 and 91672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91653 and 91672. First we will calculate the prime factors of 91653 and 91672.

Prime Factorization of 91653

Prime Factorization of 91672

Now multiplying the highest exponent prime factors to calculate the LCM of 91653 and 91672.

LCM(91653,91672) = 3¹ × 137¹ × 223¹ × 2³ × 7¹ × 1637¹
LCM(91653,91672) = 8402013816