What is the Least Common Multiple of 73380 and 73385?

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 73385 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 73385, than apply into the LCM equation.

GCF(73380,73385) = 5
LCM(73380,73385) = ( 73380 × 73385) / 5
LCM(73380,73385) = 5384991300 / 5
LCM(73380,73385) = 1076998260

Least Common Multiple (LCM) of 73380 and 73385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73380 and 73385. First we will calculate the prime factors of 73380 and 73385.

Prime Factorization of 73380

Prime Factorization of 73385

Now multiplying the highest exponent prime factors to calculate the LCM of 73380 and 73385.

LCM(73380,73385) = 2² × 3¹ × 5¹ × 1223¹ × 13¹ × 1129¹
LCM(73380,73385) = 1076998260