What is the Least Common Multiple of 50340 and 50360?

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 50340 and 50360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50340 and 50360, than apply into the LCM equation.

GCF(50340,50360) = 20
LCM(50340,50360) = ( 50340 × 50360) / 20
LCM(50340,50360) = 2535122400 / 20
LCM(50340,50360) = 126756120

Least Common Multiple (LCM) of 50340 and 50360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50340 and 50360. First we will calculate the prime factors of 50340 and 50360.

Prime Factorization of 50340

Prime Factorization of 50360

Now multiplying the highest exponent prime factors to calculate the LCM of 50340 and 50360.

LCM(50340,50360) = 2³ × 3¹ × 5¹ × 839¹ × 1259¹
LCM(50340,50360) = 126756120