What is the Least Common Multiple of 73380 and 73395?

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 73395 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 73395, than apply into the LCM equation.

GCF(73380,73395) = 15
LCM(73380,73395) = ( 73380 × 73395) / 15
LCM(73380,73395) = 5385725100 / 15
LCM(73380,73395) = 359048340

Least Common Multiple (LCM) of 73380 and 73395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73380 and 73395. First we will calculate the prime factors of 73380 and 73395.

Prime Factorization of 73380

Prime Factorization of 73395

Now multiplying the highest exponent prime factors to calculate the LCM of 73380 and 73395.

LCM(73380,73395) = 2² × 3² × 5¹ × 1223¹ × 7¹ × 233¹
LCM(73380,73395) = 359048340