What is the Least Common Multiple of 44946 and 44961?

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 44946 and 44961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44946 and 44961, than apply into the LCM equation.

GCF(44946,44961) = 3
LCM(44946,44961) = ( 44946 × 44961) / 3
LCM(44946,44961) = 2020817106 / 3
LCM(44946,44961) = 673605702

Least Common Multiple (LCM) of 44946 and 44961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44946 and 44961. First we will calculate the prime factors of 44946 and 44961.

Prime Factorization of 44946

Prime Factorization of 44961

Now multiplying the highest exponent prime factors to calculate the LCM of 44946 and 44961.

LCM(44946,44961) = 2¹ × 3² × 11¹ × 227¹ × 7¹ × 2141¹
LCM(44946,44961) = 673605702