What is the Least Common Multiple of 98310 and 98315?

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 98310 and 98315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98310 and 98315, than apply into the LCM equation.

GCF(98310,98315) = 5
LCM(98310,98315) = ( 98310 × 98315) / 5
LCM(98310,98315) = 9665347650 / 5
LCM(98310,98315) = 1933069530

Least Common Multiple (LCM) of 98310 and 98315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98310 and 98315. First we will calculate the prime factors of 98310 and 98315.

Prime Factorization of 98310

Prime Factorization of 98315

Now multiplying the highest exponent prime factors to calculate the LCM of 98310 and 98315.

LCM(98310,98315) = 2¹ × 3¹ × 5¹ × 29¹ × 113¹ × 7¹ × 53²
LCM(98310,98315) = 1933069530