What is the Least Common Multiple of 73833 and 73844?

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 73833 and 73844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73833 and 73844, than apply into the LCM equation.

GCF(73833,73844) = 1
LCM(73833,73844) = ( 73833 × 73844) / 1
LCM(73833,73844) = 5452124052 / 1
LCM(73833,73844) = 5452124052

Least Common Multiple (LCM) of 73833 and 73844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73833 and 73844. First we will calculate the prime factors of 73833 and 73844.

Prime Factorization of 73833

Prime Factorization of 73844

Now multiplying the highest exponent prime factors to calculate the LCM of 73833 and 73844.

LCM(73833,73844) = 3¹ × 24611¹ × 2² × 18461¹
LCM(73833,73844) = 5452124052