What is the Least Common Multiple of 44935 and 44940?

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 44935 and 44940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44935 and 44940, than apply into the LCM equation.

GCF(44935,44940) = 5
LCM(44935,44940) = ( 44935 × 44940) / 5
LCM(44935,44940) = 2019378900 / 5
LCM(44935,44940) = 403875780

Least Common Multiple (LCM) of 44935 and 44940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44935 and 44940. First we will calculate the prime factors of 44935 and 44940.

Prime Factorization of 44935

Prime Factorization of 44940

Now multiplying the highest exponent prime factors to calculate the LCM of 44935 and 44940.

LCM(44935,44940) = 5¹ × 11¹ × 19¹ × 43¹ × 2² × 3¹ × 7¹ × 107¹
LCM(44935,44940) = 403875780