What is the Least Common Multiple of 91770 and 91785?

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 91770 and 91785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91770 and 91785, than apply into the LCM equation.

GCF(91770,91785) = 15
LCM(91770,91785) = ( 91770 × 91785) / 15
LCM(91770,91785) = 8423109450 / 15
LCM(91770,91785) = 561540630

Least Common Multiple (LCM) of 91770 and 91785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91770 and 91785. First we will calculate the prime factors of 91770 and 91785.

Prime Factorization of 91770

Prime Factorization of 91785

Now multiplying the highest exponent prime factors to calculate the LCM of 91770 and 91785.

LCM(91770,91785) = 2¹ × 3¹ × 5¹ × 7¹ × 19¹ × 23¹ × 29¹ × 211¹
LCM(91770,91785) = 561540630