What is the Least Common Multiple of 44860 and 44874?

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 44860 and 44874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44860 and 44874, than apply into the LCM equation.

GCF(44860,44874) = 2
LCM(44860,44874) = ( 44860 × 44874) / 2
LCM(44860,44874) = 2013047640 / 2
LCM(44860,44874) = 1006523820

Least Common Multiple (LCM) of 44860 and 44874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44860 and 44874. First we will calculate the prime factors of 44860 and 44874.

Prime Factorization of 44860

Prime Factorization of 44874

Now multiplying the highest exponent prime factors to calculate the LCM of 44860 and 44874.

LCM(44860,44874) = 2² × 5¹ × 2243¹ × 3⁴ × 277¹
LCM(44860,44874) = 1006523820