What is the Least Common Multiple of 2945 and 2950?

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 2945 and 2950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2945 and 2950, than apply into the LCM equation.

GCF(2945,2950) = 5
LCM(2945,2950) = ( 2945 × 2950) / 5
LCM(2945,2950) = 8687750 / 5
LCM(2945,2950) = 1737550

Least Common Multiple (LCM) of 2945 and 2950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2945 and 2950. First we will calculate the prime factors of 2945 and 2950.

Prime Factorization of 2945

Prime Factorization of 2950

Now multiplying the highest exponent prime factors to calculate the LCM of 2945 and 2950.

LCM(2945,2950) = 5² × 19¹ × 31¹ × 2¹ × 59¹
LCM(2945,2950) = 1737550