What is the Least Common Multiple of 44574 and 44583?

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 44574 and 44583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44574 and 44583, than apply into the LCM equation.

GCF(44574,44583) = 3
LCM(44574,44583) = ( 44574 × 44583) / 3
LCM(44574,44583) = 1987242642 / 3
LCM(44574,44583) = 662414214

Least Common Multiple (LCM) of 44574 and 44583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44574 and 44583. First we will calculate the prime factors of 44574 and 44583.

Prime Factorization of 44574

Prime Factorization of 44583

Now multiplying the highest exponent prime factors to calculate the LCM of 44574 and 44583.

LCM(44574,44583) = 2¹ × 3¹ × 17¹ × 19¹ × 23¹ × 7¹ × 11¹ × 193¹
LCM(44574,44583) = 662414214