What is the Least Common Multiple of 23305 and 23315?

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 23305 and 23315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23305 and 23315, than apply into the LCM equation.

GCF(23305,23315) = 5
LCM(23305,23315) = ( 23305 × 23315) / 5
LCM(23305,23315) = 543356075 / 5
LCM(23305,23315) = 108671215

Least Common Multiple (LCM) of 23305 and 23315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23305 and 23315. First we will calculate the prime factors of 23305 and 23315.

Prime Factorization of 23305

Prime Factorization of 23315

Now multiplying the highest exponent prime factors to calculate the LCM of 23305 and 23315.

LCM(23305,23315) = 5¹ × 59¹ × 79¹ × 4663¹
LCM(23305,23315) = 108671215