What is the Least Common Multiple of 73305 and 73315?

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 73305 and 73315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73305 and 73315, than apply into the LCM equation.

GCF(73305,73315) = 5
LCM(73305,73315) = ( 73305 × 73315) / 5
LCM(73305,73315) = 5374356075 / 5
LCM(73305,73315) = 1074871215

Least Common Multiple (LCM) of 73305 and 73315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73305 and 73315. First we will calculate the prime factors of 73305 and 73315.

Prime Factorization of 73305

Prime Factorization of 73315

Now multiplying the highest exponent prime factors to calculate the LCM of 73305 and 73315.

LCM(73305,73315) = 3⁴ × 5¹ × 181¹ × 11¹ × 31¹ × 43¹
LCM(73305,73315) = 1074871215