What is the Least Common Multiple of 91489 and 91506?

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 91489 and 91506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91489 and 91506, than apply into the LCM equation.

GCF(91489,91506) = 1
LCM(91489,91506) = ( 91489 × 91506) / 1
LCM(91489,91506) = 8371792434 / 1
LCM(91489,91506) = 8371792434

Least Common Multiple (LCM) of 91489 and 91506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91489 and 91506. First we will calculate the prime factors of 91489 and 91506.

Prime Factorization of 91489

Prime Factorization of 91506

Now multiplying the highest exponent prime factors to calculate the LCM of 91489 and 91506.

LCM(91489,91506) = 191¹ × 479¹ × 2¹ × 3¹ × 101¹ × 151¹
LCM(91489,91506) = 8371792434