What is the Least Common Multiple of 50643 and 50661?

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 50643 and 50661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50643 and 50661, than apply into the LCM equation.

GCF(50643,50661) = 9
LCM(50643,50661) = ( 50643 × 50661) / 9
LCM(50643,50661) = 2565625023 / 9
LCM(50643,50661) = 285069447

Least Common Multiple (LCM) of 50643 and 50661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50643 and 50661. First we will calculate the prime factors of 50643 and 50661.

Prime Factorization of 50643

Prime Factorization of 50661

Now multiplying the highest exponent prime factors to calculate the LCM of 50643 and 50661.

LCM(50643,50661) = 3² × 17¹ × 331¹ × 13¹ × 433¹
LCM(50643,50661) = 285069447