What is the Least Common Multiple of 4316 and 4332?

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 4316 and 4332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4316 and 4332, than apply into the LCM equation.

GCF(4316,4332) = 4
LCM(4316,4332) = ( 4316 × 4332) / 4
LCM(4316,4332) = 18696912 / 4
LCM(4316,4332) = 4674228

Least Common Multiple (LCM) of 4316 and 4332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4316 and 4332. First we will calculate the prime factors of 4316 and 4332.

Prime Factorization of 4316

Prime Factorization of 4332

Now multiplying the highest exponent prime factors to calculate the LCM of 4316 and 4332.

LCM(4316,4332) = 2² × 13¹ × 83¹ × 3¹ × 19²
LCM(4316,4332) = 4674228