What is the Least Common Multiple of 44892 and 44906?

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 44892 and 44906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44892 and 44906, than apply into the LCM equation.

GCF(44892,44906) = 2
LCM(44892,44906) = ( 44892 × 44906) / 2
LCM(44892,44906) = 2015920152 / 2
LCM(44892,44906) = 1007960076

Least Common Multiple (LCM) of 44892 and 44906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44892 and 44906. First we will calculate the prime factors of 44892 and 44906.

Prime Factorization of 44892

Prime Factorization of 44906

Now multiplying the highest exponent prime factors to calculate the LCM of 44892 and 44906.

LCM(44892,44906) = 2² × 3² × 29¹ × 43¹ × 22453¹
LCM(44892,44906) = 1007960076