What is the Least Common Multiple of 48300 and 48312?

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 48300 and 48312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48300 and 48312, than apply into the LCM equation.

GCF(48300,48312) = 12
LCM(48300,48312) = ( 48300 × 48312) / 12
LCM(48300,48312) = 2333469600 / 12
LCM(48300,48312) = 194455800

Least Common Multiple (LCM) of 48300 and 48312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48300 and 48312. First we will calculate the prime factors of 48300 and 48312.

Prime Factorization of 48300

Prime Factorization of 48312

Now multiplying the highest exponent prime factors to calculate the LCM of 48300 and 48312.

LCM(48300,48312) = 2³ × 3² × 5² × 7¹ × 23¹ × 11¹ × 61¹
LCM(48300,48312) = 194455800