What is the Least Common Multiple of 50705 and 50721?

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 50705 and 50721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50705 and 50721, than apply into the LCM equation.

GCF(50705,50721) = 1
LCM(50705,50721) = ( 50705 × 50721) / 1
LCM(50705,50721) = 2571808305 / 1
LCM(50705,50721) = 2571808305

Least Common Multiple (LCM) of 50705 and 50721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50705 and 50721. First we will calculate the prime factors of 50705 and 50721.

Prime Factorization of 50705

Prime Factorization of 50721

Now multiplying the highest exponent prime factors to calculate the LCM of 50705 and 50721.

LCM(50705,50721) = 5¹ × 10141¹ × 3¹ × 11¹ × 29¹ × 53¹
LCM(50705,50721) = 2571808305