What is the Least Common Multiple of 91065 and 91071?

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 91065 and 91071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91065 and 91071, than apply into the LCM equation.

GCF(91065,91071) = 3
LCM(91065,91071) = ( 91065 × 91071) / 3
LCM(91065,91071) = 8293380615 / 3
LCM(91065,91071) = 2764460205

Least Common Multiple (LCM) of 91065 and 91071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91065 and 91071. First we will calculate the prime factors of 91065 and 91071.

Prime Factorization of 91065

Prime Factorization of 91071

Now multiplying the highest exponent prime factors to calculate the LCM of 91065 and 91071.

LCM(91065,91071) = 3³ × 5¹ × 13¹ × 467¹ × 3373¹
LCM(91065,91071) = 2764460205