What is the Least Common Multiple of 47945 and 47950?

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 47945 and 47950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47945 and 47950, than apply into the LCM equation.

GCF(47945,47950) = 5
LCM(47945,47950) = ( 47945 × 47950) / 5
LCM(47945,47950) = 2298962750 / 5
LCM(47945,47950) = 459792550

Least Common Multiple (LCM) of 47945 and 47950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47945 and 47950. First we will calculate the prime factors of 47945 and 47950.

Prime Factorization of 47945

Prime Factorization of 47950

Now multiplying the highest exponent prime factors to calculate the LCM of 47945 and 47950.

LCM(47945,47950) = 5² × 43¹ × 223¹ × 2¹ × 7¹ × 137¹
LCM(47945,47950) = 459792550