What is the Least Common Multiple of 91125 and 91142?

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 91125 and 91142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91125 and 91142, than apply into the LCM equation.

GCF(91125,91142) = 1
LCM(91125,91142) = ( 91125 × 91142) / 1
LCM(91125,91142) = 8305314750 / 1
LCM(91125,91142) = 8305314750

Least Common Multiple (LCM) of 91125 and 91142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91125 and 91142. First we will calculate the prime factors of 91125 and 91142.

Prime Factorization of 91125

Prime Factorization of 91142

Now multiplying the highest exponent prime factors to calculate the LCM of 91125 and 91142.

LCM(91125,91142) = 3⁶ × 5³ × 2¹ × 199¹ × 229¹
LCM(91125,91142) = 8305314750