What is the Least Common Multiple of 48198 and 48215?

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 48198 and 48215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48198 and 48215, than apply into the LCM equation.

GCF(48198,48215) = 1
LCM(48198,48215) = ( 48198 × 48215) / 1
LCM(48198,48215) = 2323866570 / 1
LCM(48198,48215) = 2323866570

Least Common Multiple (LCM) of 48198 and 48215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48198 and 48215. First we will calculate the prime factors of 48198 and 48215.

Prime Factorization of 48198

Prime Factorization of 48215

Now multiplying the highest exponent prime factors to calculate the LCM of 48198 and 48215.

LCM(48198,48215) = 2¹ × 3¹ × 29¹ × 277¹ × 5¹ × 9643¹
LCM(48198,48215) = 2323866570