What is the Least Common Multiple of 40770 and 40785?

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 40770 and 40785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40770 and 40785, than apply into the LCM equation.

GCF(40770,40785) = 15
LCM(40770,40785) = ( 40770 × 40785) / 15
LCM(40770,40785) = 1662804450 / 15
LCM(40770,40785) = 110853630

Least Common Multiple (LCM) of 40770 and 40785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40770 and 40785. First we will calculate the prime factors of 40770 and 40785.

Prime Factorization of 40770

Prime Factorization of 40785

Now multiplying the highest exponent prime factors to calculate the LCM of 40770 and 40785.

LCM(40770,40785) = 2¹ × 3³ × 5¹ × 151¹ × 2719¹
LCM(40770,40785) = 110853630