What is the Least Common Multiple of 91017 and 91029?

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 91017 and 91029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91017 and 91029, than apply into the LCM equation.

GCF(91017,91029) = 3
LCM(91017,91029) = ( 91017 × 91029) / 3
LCM(91017,91029) = 8285186493 / 3
LCM(91017,91029) = 2761728831

Least Common Multiple (LCM) of 91017 and 91029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91017 and 91029. First we will calculate the prime factors of 91017 and 91029.

Prime Factorization of 91017

Prime Factorization of 91029

Now multiplying the highest exponent prime factors to calculate the LCM of 91017 and 91029.

LCM(91017,91029) = 3³ × 3371¹ × 19¹ × 1597¹
LCM(91017,91029) = 2761728831