What is the Least Common Multiple of 44950 and 44956?

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 44950 and 44956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44950 and 44956, than apply into the LCM equation.

GCF(44950,44956) = 2
LCM(44950,44956) = ( 44950 × 44956) / 2
LCM(44950,44956) = 2020772200 / 2
LCM(44950,44956) = 1010386100

Least Common Multiple (LCM) of 44950 and 44956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44950 and 44956. First we will calculate the prime factors of 44950 and 44956.

Prime Factorization of 44950

Prime Factorization of 44956

Now multiplying the highest exponent prime factors to calculate the LCM of 44950 and 44956.

LCM(44950,44956) = 2² × 5² × 29¹ × 31¹ × 11239¹
LCM(44950,44956) = 1010386100