What is the Least Common Multiple of 50325 and 50340?

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 50325 and 50340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50325 and 50340, than apply into the LCM equation.

GCF(50325,50340) = 15
LCM(50325,50340) = ( 50325 × 50340) / 15
LCM(50325,50340) = 2533360500 / 15
LCM(50325,50340) = 168890700

Least Common Multiple (LCM) of 50325 and 50340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50325 and 50340. First we will calculate the prime factors of 50325 and 50340.

Prime Factorization of 50325

Prime Factorization of 50340

Now multiplying the highest exponent prime factors to calculate the LCM of 50325 and 50340.

LCM(50325,50340) = 3¹ × 5² × 11¹ × 61¹ × 2² × 839¹
LCM(50325,50340) = 168890700