What is the Least Common Multiple of 44916 and 44935?

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 44916 and 44935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44916 and 44935, than apply into the LCM equation.

GCF(44916,44935) = 19
LCM(44916,44935) = ( 44916 × 44935) / 19
LCM(44916,44935) = 2018300460 / 19
LCM(44916,44935) = 106226340

Least Common Multiple (LCM) of 44916 and 44935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44916 and 44935. First we will calculate the prime factors of 44916 and 44935.

Prime Factorization of 44916

Prime Factorization of 44935

Now multiplying the highest exponent prime factors to calculate the LCM of 44916 and 44935.

LCM(44916,44935) = 2² × 3¹ × 19¹ × 197¹ × 5¹ × 11¹ × 43¹
LCM(44916,44935) = 106226340