What is the Least Common Multiple of 91014 and 91021?

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 91014 and 91021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91014 and 91021, than apply into the LCM equation.

GCF(91014,91021) = 7
LCM(91014,91021) = ( 91014 × 91021) / 7
LCM(91014,91021) = 8284185294 / 7
LCM(91014,91021) = 1183455042

Least Common Multiple (LCM) of 91014 and 91021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91014 and 91021. First we will calculate the prime factors of 91014 and 91021.

Prime Factorization of 91014

Prime Factorization of 91021

Now multiplying the highest exponent prime factors to calculate the LCM of 91014 and 91021.

LCM(91014,91021) = 2¹ × 3¹ × 7¹ × 11¹ × 197¹ × 13003¹
LCM(91014,91021) = 1183455042