What is the Least Common Multiple of 50940 and 50949?

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 50940 and 50949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50940 and 50949, than apply into the LCM equation.

GCF(50940,50949) = 9
LCM(50940,50949) = ( 50940 × 50949) / 9
LCM(50940,50949) = 2595342060 / 9
LCM(50940,50949) = 288371340

Least Common Multiple (LCM) of 50940 and 50949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50940 and 50949. First we will calculate the prime factors of 50940 and 50949.

Prime Factorization of 50940

Prime Factorization of 50949

Now multiplying the highest exponent prime factors to calculate the LCM of 50940 and 50949.

LCM(50940,50949) = 2² × 3⁴ × 5¹ × 283¹ × 17¹ × 37¹
LCM(50940,50949) = 288371340