What is the Least Common Multiple of 44954 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 44954 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 44954 and 44961, than apply into the LCM equation.

GCF(44954,44961) = 7
LCM(44954,44961) = ( 44954 × 44961) / 7
LCM(44954,44961) = 2021176794 / 7
LCM(44954,44961) = 288739542

Least Common Multiple (LCM) of 44954 and 44961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44954 and 44961. First we will calculate the prime factors of 44954 and 44961.

Prime Factorization of 44954

Prime Factorization of 44961

Now multiplying the highest exponent prime factors to calculate the LCM of 44954 and 44961.

LCM(44954,44961) = 2¹ × 7¹ × 13² × 19¹ × 3¹ × 2141¹
LCM(44954,44961) = 288739542