What is the Least Common Multiple of 4350 and 4354?

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 4350 and 4354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4350 and 4354, than apply into the LCM equation.

GCF(4350,4354) = 2
LCM(4350,4354) = ( 4350 × 4354) / 2
LCM(4350,4354) = 18939900 / 2
LCM(4350,4354) = 9469950

Least Common Multiple (LCM) of 4350 and 4354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4350 and 4354. First we will calculate the prime factors of 4350 and 4354.

Prime Factorization of 4350

Prime Factorization of 4354

Now multiplying the highest exponent prime factors to calculate the LCM of 4350 and 4354.

LCM(4350,4354) = 2¹ × 3¹ × 5² × 29¹ × 7¹ × 311¹
LCM(4350,4354) = 9469950