What is the Least Common Multiple of 91038 and 91047?

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 91038 and 91047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91038 and 91047, than apply into the LCM equation.

GCF(91038,91047) = 3
LCM(91038,91047) = ( 91038 × 91047) / 3
LCM(91038,91047) = 8288736786 / 3
LCM(91038,91047) = 2762912262

Least Common Multiple (LCM) of 91038 and 91047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91038 and 91047. First we will calculate the prime factors of 91038 and 91047.

Prime Factorization of 91038

Prime Factorization of 91047

Now multiplying the highest exponent prime factors to calculate the LCM of 91038 and 91047.

LCM(91038,91047) = 2¹ × 3¹ × 15173¹ × 11¹ × 31¹ × 89¹
LCM(91038,91047) = 2762912262