What is the Least Common Multiple of 44296 and 44304?

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 44296 and 44304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44296 and 44304, than apply into the LCM equation.

GCF(44296,44304) = 8
LCM(44296,44304) = ( 44296 × 44304) / 8
LCM(44296,44304) = 1962489984 / 8
LCM(44296,44304) = 245311248

Least Common Multiple (LCM) of 44296 and 44304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44296 and 44304. First we will calculate the prime factors of 44296 and 44304.

Prime Factorization of 44296

Prime Factorization of 44304

Now multiplying the highest exponent prime factors to calculate the LCM of 44296 and 44304.

LCM(44296,44304) = 2⁴ × 7² × 113¹ × 3¹ × 13¹ × 71¹
LCM(44296,44304) = 245311248