What is the Least Common Multiple of 44285 and 44302?

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 44285 and 44302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44285 and 44302, than apply into the LCM equation.

GCF(44285,44302) = 17
LCM(44285,44302) = ( 44285 × 44302) / 17
LCM(44285,44302) = 1961914070 / 17
LCM(44285,44302) = 115406710

Least Common Multiple (LCM) of 44285 and 44302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44285 and 44302. First we will calculate the prime factors of 44285 and 44302.

Prime Factorization of 44285

Prime Factorization of 44302

Now multiplying the highest exponent prime factors to calculate the LCM of 44285 and 44302.

LCM(44285,44302) = 5¹ × 17¹ × 521¹ × 2¹ × 1303¹
LCM(44285,44302) = 115406710