What is the Least Common Multiple of 73335 and 73340?

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 73335 and 73340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73335 and 73340, than apply into the LCM equation.

GCF(73335,73340) = 5
LCM(73335,73340) = ( 73335 × 73340) / 5
LCM(73335,73340) = 5378388900 / 5
LCM(73335,73340) = 1075677780

Least Common Multiple (LCM) of 73335 and 73340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73335 and 73340. First we will calculate the prime factors of 73335 and 73340.

Prime Factorization of 73335

Prime Factorization of 73340

Now multiplying the highest exponent prime factors to calculate the LCM of 73335 and 73340.

LCM(73335,73340) = 3¹ × 5¹ × 4889¹ × 2² × 19¹ × 193¹
LCM(73335,73340) = 1075677780