What is the Least Common Multiple of 44170 and 44179?

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 44170 and 44179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44170 and 44179, than apply into the LCM equation.

GCF(44170,44179) = 1
LCM(44170,44179) = ( 44170 × 44179) / 1
LCM(44170,44179) = 1951386430 / 1
LCM(44170,44179) = 1951386430

Least Common Multiple (LCM) of 44170 and 44179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44170 and 44179. First we will calculate the prime factors of 44170 and 44179.

Prime Factorization of 44170

Prime Factorization of 44179

Now multiplying the highest exponent prime factors to calculate the LCM of 44170 and 44179.

LCM(44170,44179) = 2¹ × 5¹ × 7¹ × 631¹ × 44179¹
LCM(44170,44179) = 1951386430