What is the Least Common Multiple of 44459 and 44465?

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 44459 and 44465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44459 and 44465, than apply into the LCM equation.

GCF(44459,44465) = 1
LCM(44459,44465) = ( 44459 × 44465) / 1
LCM(44459,44465) = 1976869435 / 1
LCM(44459,44465) = 1976869435

Least Common Multiple (LCM) of 44459 and 44465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44459 and 44465. First we will calculate the prime factors of 44459 and 44465.

Prime Factorization of 44459

Prime Factorization of 44465

Now multiplying the highest exponent prime factors to calculate the LCM of 44459 and 44465.

LCM(44459,44465) = 23¹ × 1933¹ × 5¹ × 8893¹
LCM(44459,44465) = 1976869435