What is the Least Common Multiple of 50713 and 50726?

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 50713 and 50726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50713 and 50726, than apply into the LCM equation.

GCF(50713,50726) = 13
LCM(50713,50726) = ( 50713 × 50726) / 13
LCM(50713,50726) = 2572467638 / 13
LCM(50713,50726) = 197882126

Least Common Multiple (LCM) of 50713 and 50726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50713 and 50726. First we will calculate the prime factors of 50713 and 50726.

Prime Factorization of 50713

Prime Factorization of 50726

Now multiplying the highest exponent prime factors to calculate the LCM of 50713 and 50726.

LCM(50713,50726) = 13¹ × 47¹ × 83¹ × 2¹ × 1951¹
LCM(50713,50726) = 197882126