What is the Least Common Multiple of 4300 and 4312?

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 4300 and 4312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4300 and 4312, than apply into the LCM equation.

GCF(4300,4312) = 4
LCM(4300,4312) = ( 4300 × 4312) / 4
LCM(4300,4312) = 18541600 / 4
LCM(4300,4312) = 4635400

Least Common Multiple (LCM) of 4300 and 4312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4300 and 4312. First we will calculate the prime factors of 4300 and 4312.

Prime Factorization of 4300

Prime Factorization of 4312

Now multiplying the highest exponent prime factors to calculate the LCM of 4300 and 4312.

LCM(4300,4312) = 2³ × 5² × 43¹ × 7² × 11¹
LCM(4300,4312) = 4635400