What is the Least Common Multiple of 44289 and 44308?

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 44308 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 44308, than apply into the LCM equation.

GCF(44289,44308) = 19
LCM(44289,44308) = ( 44289 × 44308) / 19
LCM(44289,44308) = 1962357012 / 19
LCM(44289,44308) = 103281948

Least Common Multiple (LCM) of 44289 and 44308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44289 and 44308. First we will calculate the prime factors of 44289 and 44308.

Prime Factorization of 44289

Prime Factorization of 44308

Now multiplying the highest exponent prime factors to calculate the LCM of 44289 and 44308.

LCM(44289,44308) = 3² × 7¹ × 19¹ × 37¹ × 2² × 11¹ × 53¹
LCM(44289,44308) = 103281948