What is the Least Common Multiple of 44325 and 44343?

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 44325 and 44343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44325 and 44343, than apply into the LCM equation.

GCF(44325,44343) = 9
LCM(44325,44343) = ( 44325 × 44343) / 9
LCM(44325,44343) = 1965503475 / 9
LCM(44325,44343) = 218389275

Least Common Multiple (LCM) of 44325 and 44343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44325 and 44343. First we will calculate the prime factors of 44325 and 44343.

Prime Factorization of 44325

Prime Factorization of 44343

Now multiplying the highest exponent prime factors to calculate the LCM of 44325 and 44343.

LCM(44325,44343) = 3² × 5² × 197¹ × 13¹ × 379¹
LCM(44325,44343) = 218389275