What is the Least Common Multiple of 73644 and 73650?

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 73644 and 73650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73644 and 73650, than apply into the LCM equation.

GCF(73644,73650) = 6
LCM(73644,73650) = ( 73644 × 73650) / 6
LCM(73644,73650) = 5423880600 / 6
LCM(73644,73650) = 903980100

Least Common Multiple (LCM) of 73644 and 73650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73644 and 73650. First we will calculate the prime factors of 73644 and 73650.

Prime Factorization of 73644

Prime Factorization of 73650

Now multiplying the highest exponent prime factors to calculate the LCM of 73644 and 73650.

LCM(73644,73650) = 2² × 3¹ × 17¹ × 19² × 5² × 491¹
LCM(73644,73650) = 903980100