What is the Least Common Multiple of 44845 and 44854?

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 44845 and 44854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44845 and 44854, than apply into the LCM equation.

GCF(44845,44854) = 1
LCM(44845,44854) = ( 44845 × 44854) / 1
LCM(44845,44854) = 2011477630 / 1
LCM(44845,44854) = 2011477630

Least Common Multiple (LCM) of 44845 and 44854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44845 and 44854. First we will calculate the prime factors of 44845 and 44854.

Prime Factorization of 44845

Prime Factorization of 44854

Now multiplying the highest exponent prime factors to calculate the LCM of 44845 and 44854.

LCM(44845,44854) = 5¹ × 8969¹ × 2¹ × 41¹ × 547¹
LCM(44845,44854) = 2011477630