What is the Least Common Multiple of 44184 and 44204?

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 44184 and 44204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44184 and 44204, than apply into the LCM equation.

GCF(44184,44204) = 4
LCM(44184,44204) = ( 44184 × 44204) / 4
LCM(44184,44204) = 1953109536 / 4
LCM(44184,44204) = 488277384

Least Common Multiple (LCM) of 44184 and 44204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44184 and 44204. First we will calculate the prime factors of 44184 and 44204.

Prime Factorization of 44184

Prime Factorization of 44204

Now multiplying the highest exponent prime factors to calculate the LCM of 44184 and 44204.

LCM(44184,44204) = 2³ × 3¹ × 7¹ × 263¹ × 43¹ × 257¹
LCM(44184,44204) = 488277384