What is the Least Common Multiple of 44298 and 44313?

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 44298 and 44313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44298 and 44313, than apply into the LCM equation.

GCF(44298,44313) = 3
LCM(44298,44313) = ( 44298 × 44313) / 3
LCM(44298,44313) = 1962977274 / 3
LCM(44298,44313) = 654325758

Least Common Multiple (LCM) of 44298 and 44313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44298 and 44313. First we will calculate the prime factors of 44298 and 44313.

Prime Factorization of 44298

Prime Factorization of 44313

Now multiplying the highest exponent prime factors to calculate the LCM of 44298 and 44313.

LCM(44298,44313) = 2¹ × 3² × 23¹ × 107¹ × 14771¹
LCM(44298,44313) = 654325758