What is the Least Common Multiple of 73380 and 73399?

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 73380 and 73399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73380 and 73399, than apply into the LCM equation.

GCF(73380,73399) = 1
LCM(73380,73399) = ( 73380 × 73399) / 1
LCM(73380,73399) = 5386018620 / 1
LCM(73380,73399) = 5386018620

Least Common Multiple (LCM) of 73380 and 73399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73380 and 73399. First we will calculate the prime factors of 73380 and 73399.

Prime Factorization of 73380

Prime Factorization of 73399

Now multiplying the highest exponent prime factors to calculate the LCM of 73380 and 73399.

LCM(73380,73399) = 2² × 3¹ × 5¹ × 1223¹ × 29¹ × 2531¹
LCM(73380,73399) = 5386018620