What is the Least Common Multiple of 50449 and 50460?

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 50449 and 50460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50449 and 50460, than apply into the LCM equation.

GCF(50449,50460) = 1
LCM(50449,50460) = ( 50449 × 50460) / 1
LCM(50449,50460) = 2545656540 / 1
LCM(50449,50460) = 2545656540

Least Common Multiple (LCM) of 50449 and 50460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50449 and 50460. First we will calculate the prime factors of 50449 and 50460.

Prime Factorization of 50449

Prime Factorization of 50460

Now multiplying the highest exponent prime factors to calculate the LCM of 50449 and 50460.

LCM(50449,50460) = 7¹ × 7207¹ × 2² × 3¹ × 5¹ × 29²
LCM(50449,50460) = 2545656540