What is the Least Common Multiple of 73770 and 73785?

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 73770 and 73785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73770 and 73785, than apply into the LCM equation.

GCF(73770,73785) = 15
LCM(73770,73785) = ( 73770 × 73785) / 15
LCM(73770,73785) = 5443119450 / 15
LCM(73770,73785) = 362874630

Least Common Multiple (LCM) of 73770 and 73785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73770 and 73785. First we will calculate the prime factors of 73770 and 73785.

Prime Factorization of 73770

Prime Factorization of 73785

Now multiplying the highest exponent prime factors to calculate the LCM of 73770 and 73785.

LCM(73770,73785) = 2¹ × 3¹ × 5¹ × 2459¹ × 4919¹
LCM(73770,73785) = 362874630