What is the Least Common Multiple of 44774 and 44794?

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 44774 and 44794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44774 and 44794, than apply into the LCM equation.

GCF(44774,44794) = 2
LCM(44774,44794) = ( 44774 × 44794) / 2
LCM(44774,44794) = 2005606556 / 2
LCM(44774,44794) = 1002803278

Least Common Multiple (LCM) of 44774 and 44794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44774 and 44794. First we will calculate the prime factors of 44774 and 44794.

Prime Factorization of 44774

Prime Factorization of 44794

Now multiplying the highest exponent prime factors to calculate the LCM of 44774 and 44794.

LCM(44774,44794) = 2¹ × 61¹ × 367¹ × 22397¹
LCM(44774,44794) = 1002803278