What is the Least Common Multiple of 44350 and 44369?

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 44350 and 44369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44350 and 44369, than apply into the LCM equation.

GCF(44350,44369) = 1
LCM(44350,44369) = ( 44350 × 44369) / 1
LCM(44350,44369) = 1967765150 / 1
LCM(44350,44369) = 1967765150

Least Common Multiple (LCM) of 44350 and 44369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44350 and 44369. First we will calculate the prime factors of 44350 and 44369.

Prime Factorization of 44350

Prime Factorization of 44369

Now multiplying the highest exponent prime factors to calculate the LCM of 44350 and 44369.

LCM(44350,44369) = 2¹ × 5² × 887¹ × 13¹ × 3413¹
LCM(44350,44369) = 1967765150