What is the Least Common Multiple of 73340 and 73345?

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 73340 and 73345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73340 and 73345, than apply into the LCM equation.

GCF(73340,73345) = 5
LCM(73340,73345) = ( 73340 × 73345) / 5
LCM(73340,73345) = 5379122300 / 5
LCM(73340,73345) = 1075824460

Least Common Multiple (LCM) of 73340 and 73345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73340 and 73345. First we will calculate the prime factors of 73340 and 73345.

Prime Factorization of 73340

Prime Factorization of 73345

Now multiplying the highest exponent prime factors to calculate the LCM of 73340 and 73345.

LCM(73340,73345) = 2² × 5¹ × 19¹ × 193¹ × 14669¹
LCM(73340,73345) = 1075824460