What is the Least Common Multiple of 74305 and 74315?

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 74305 and 74315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74305 and 74315, than apply into the LCM equation.

GCF(74305,74315) = 5
LCM(74305,74315) = ( 74305 × 74315) / 5
LCM(74305,74315) = 5521976075 / 5
LCM(74305,74315) = 1104395215

Least Common Multiple (LCM) of 74305 and 74315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74305 and 74315. First we will calculate the prime factors of 74305 and 74315.

Prime Factorization of 74305

Prime Factorization of 74315

Now multiplying the highest exponent prime factors to calculate the LCM of 74305 and 74315.

LCM(74305,74315) = 5¹ × 7¹ × 11¹ × 193¹ × 89¹ × 167¹
LCM(74305,74315) = 1104395215