What is the Least Common Multiple of 92310 and 92315?

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 92310 and 92315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92310 and 92315, than apply into the LCM equation.

GCF(92310,92315) = 5
LCM(92310,92315) = ( 92310 × 92315) / 5
LCM(92310,92315) = 8521597650 / 5
LCM(92310,92315) = 1704319530

Least Common Multiple (LCM) of 92310 and 92315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92310 and 92315. First we will calculate the prime factors of 92310 and 92315.

Prime Factorization of 92310

Prime Factorization of 92315

Now multiplying the highest exponent prime factors to calculate the LCM of 92310 and 92315.

LCM(92310,92315) = 2¹ × 3¹ × 5¹ × 17¹ × 181¹ × 37¹ × 499¹
LCM(92310,92315) = 1704319530