What is the Least Common Multiple of 73315 and 73335?

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 73315 and 73335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73315 and 73335, than apply into the LCM equation.

GCF(73315,73335) = 5
LCM(73315,73335) = ( 73315 × 73335) / 5
LCM(73315,73335) = 5376555525 / 5
LCM(73315,73335) = 1075311105

Least Common Multiple (LCM) of 73315 and 73335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73315 and 73335. First we will calculate the prime factors of 73315 and 73335.

Prime Factorization of 73315

Prime Factorization of 73335

Now multiplying the highest exponent prime factors to calculate the LCM of 73315 and 73335.

LCM(73315,73335) = 5¹ × 11¹ × 31¹ × 43¹ × 3¹ × 4889¹
LCM(73315,73335) = 1075311105