What is the Least Common Multiple of 73743 and 73748?

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 73743 and 73748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73743 and 73748, than apply into the LCM equation.

GCF(73743,73748) = 1
LCM(73743,73748) = ( 73743 × 73748) / 1
LCM(73743,73748) = 5438398764 / 1
LCM(73743,73748) = 5438398764

Least Common Multiple (LCM) of 73743 and 73748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73743 and 73748. First we will calculate the prime factors of 73743 and 73748.

Prime Factorization of 73743

Prime Factorization of 73748

Now multiplying the highest exponent prime factors to calculate the LCM of 73743 and 73748.

LCM(73743,73748) = 3¹ × 47¹ × 523¹ × 2² × 103¹ × 179¹
LCM(73743,73748) = 5438398764