What is the Least Common Multiple of 4350 and 4356?

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 4356 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 4356, than apply into the LCM equation.

GCF(4350,4356) = 6
LCM(4350,4356) = ( 4350 × 4356) / 6
LCM(4350,4356) = 18948600 / 6
LCM(4350,4356) = 3158100

Least Common Multiple (LCM) of 4350 and 4356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4350 and 4356. First we will calculate the prime factors of 4350 and 4356.

Prime Factorization of 4350

Prime Factorization of 4356

Now multiplying the highest exponent prime factors to calculate the LCM of 4350 and 4356.

LCM(4350,4356) = 2² × 3² × 5² × 29¹ × 11²
LCM(4350,4356) = 3158100