What is the Least Common Multiple of 44850 and 44860?

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 44850 and 44860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44850 and 44860, than apply into the LCM equation.

GCF(44850,44860) = 10
LCM(44850,44860) = ( 44850 × 44860) / 10
LCM(44850,44860) = 2011971000 / 10
LCM(44850,44860) = 201197100

Least Common Multiple (LCM) of 44850 and 44860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44850 and 44860. First we will calculate the prime factors of 44850 and 44860.

Prime Factorization of 44850

Prime Factorization of 44860

Now multiplying the highest exponent prime factors to calculate the LCM of 44850 and 44860.

LCM(44850,44860) = 2² × 3¹ × 5² × 13¹ × 23¹ × 2243¹
LCM(44850,44860) = 201197100