What is the Least Common Multiple of 44910 and 44929?

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 44910 and 44929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44910 and 44929, than apply into the LCM equation.

GCF(44910,44929) = 1
LCM(44910,44929) = ( 44910 × 44929) / 1
LCM(44910,44929) = 2017761390 / 1
LCM(44910,44929) = 2017761390

Least Common Multiple (LCM) of 44910 and 44929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44910 and 44929. First we will calculate the prime factors of 44910 and 44929.

Prime Factorization of 44910

Prime Factorization of 44929

Now multiplying the highest exponent prime factors to calculate the LCM of 44910 and 44929.

LCM(44910,44929) = 2¹ × 3² × 5¹ × 499¹ × 179¹ × 251¹
LCM(44910,44929) = 2017761390