What is the Least Common Multiple of 50609 and 50620?

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 50609 and 50620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50609 and 50620, than apply into the LCM equation.

GCF(50609,50620) = 1
LCM(50609,50620) = ( 50609 × 50620) / 1
LCM(50609,50620) = 2561827580 / 1
LCM(50609,50620) = 2561827580

Least Common Multiple (LCM) of 50609 and 50620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50609 and 50620. First we will calculate the prime factors of 50609 and 50620.

Prime Factorization of 50609

Prime Factorization of 50620

Now multiplying the highest exponent prime factors to calculate the LCM of 50609 and 50620.

LCM(50609,50620) = 13¹ × 17¹ × 229¹ × 2² × 5¹ × 2531¹
LCM(50609,50620) = 2561827580