What is the Least Common Multiple of 73740 and 73747?

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 73740 and 73747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73740 and 73747, than apply into the LCM equation.

GCF(73740,73747) = 1
LCM(73740,73747) = ( 73740 × 73747) / 1
LCM(73740,73747) = 5438103780 / 1
LCM(73740,73747) = 5438103780

Least Common Multiple (LCM) of 73740 and 73747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73740 and 73747. First we will calculate the prime factors of 73740 and 73747.

Prime Factorization of 73740

Prime Factorization of 73747

Now multiplying the highest exponent prime factors to calculate the LCM of 73740 and 73747.

LCM(73740,73747) = 2² × 3¹ × 5¹ × 1229¹ × 29¹ × 2543¹
LCM(73740,73747) = 5438103780