What is the Least Common Multiple of 65305 and 65315?

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 65305 and 65315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65305 and 65315, than apply into the LCM equation.

GCF(65305,65315) = 5
LCM(65305,65315) = ( 65305 × 65315) / 5
LCM(65305,65315) = 4265396075 / 5
LCM(65305,65315) = 853079215

Least Common Multiple (LCM) of 65305 and 65315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65305 and 65315. First we will calculate the prime factors of 65305 and 65315.

Prime Factorization of 65305

Prime Factorization of 65315

Now multiplying the highest exponent prime factors to calculate the LCM of 65305 and 65315.

LCM(65305,65315) = 5¹ × 37¹ × 353¹ × 13063¹
LCM(65305,65315) = 853079215