What is the Least Common Multiple of 50820 and 50838?

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 50820 and 50838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50820 and 50838, than apply into the LCM equation.

GCF(50820,50838) = 6
LCM(50820,50838) = ( 50820 × 50838) / 6
LCM(50820,50838) = 2583587160 / 6
LCM(50820,50838) = 430597860

Least Common Multiple (LCM) of 50820 and 50838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50820 and 50838. First we will calculate the prime factors of 50820 and 50838.

Prime Factorization of 50820

Prime Factorization of 50838

Now multiplying the highest exponent prime factors to calculate the LCM of 50820 and 50838.

LCM(50820,50838) = 2² × 3¹ × 5¹ × 7¹ × 11² × 37¹ × 229¹
LCM(50820,50838) = 430597860