What is the Least Common Multiple of 44650 and 44669?

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 44650 and 44669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44650 and 44669, than apply into the LCM equation.

GCF(44650,44669) = 19
LCM(44650,44669) = ( 44650 × 44669) / 19
LCM(44650,44669) = 1994470850 / 19
LCM(44650,44669) = 104972150

Least Common Multiple (LCM) of 44650 and 44669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44650 and 44669. First we will calculate the prime factors of 44650 and 44669.

Prime Factorization of 44650

Prime Factorization of 44669

Now multiplying the highest exponent prime factors to calculate the LCM of 44650 and 44669.

LCM(44650,44669) = 2¹ × 5² × 19¹ × 47¹ × 2351¹
LCM(44650,44669) = 104972150