What is the Least Common Multiple of 91785 and 91790?

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 91785 and 91790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91785 and 91790, than apply into the LCM equation.

GCF(91785,91790) = 5
LCM(91785,91790) = ( 91785 × 91790) / 5
LCM(91785,91790) = 8424945150 / 5
LCM(91785,91790) = 1684989030

Least Common Multiple (LCM) of 91785 and 91790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91785 and 91790. First we will calculate the prime factors of 91785 and 91790.

Prime Factorization of 91785

Prime Factorization of 91790

Now multiplying the highest exponent prime factors to calculate the LCM of 91785 and 91790.

LCM(91785,91790) = 3¹ × 5¹ × 29¹ × 211¹ × 2¹ × 67¹ × 137¹
LCM(91785,91790) = 1684989030