What is the Least Common Multiple of 44289 and 44296?

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 44289 and 44296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44289 and 44296, than apply into the LCM equation.

GCF(44289,44296) = 7
LCM(44289,44296) = ( 44289 × 44296) / 7
LCM(44289,44296) = 1961825544 / 7
LCM(44289,44296) = 280260792

Least Common Multiple (LCM) of 44289 and 44296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44289 and 44296. First we will calculate the prime factors of 44289 and 44296.

Prime Factorization of 44289

Prime Factorization of 44296

Now multiplying the highest exponent prime factors to calculate the LCM of 44289 and 44296.

LCM(44289,44296) = 3² × 7² × 19¹ × 37¹ × 2³ × 113¹
LCM(44289,44296) = 280260792