What is the Least Common Multiple of 50609 and 50626?

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 50626 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 50626, than apply into the LCM equation.

GCF(50609,50626) = 17
LCM(50609,50626) = ( 50609 × 50626) / 17
LCM(50609,50626) = 2562131234 / 17
LCM(50609,50626) = 150713602

Least Common Multiple (LCM) of 50609 and 50626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50609 and 50626. First we will calculate the prime factors of 50609 and 50626.

Prime Factorization of 50609

Prime Factorization of 50626

Now multiplying the highest exponent prime factors to calculate the LCM of 50609 and 50626.

LCM(50609,50626) = 13¹ × 17¹ × 229¹ × 2¹ × 1489¹
LCM(50609,50626) = 150713602