What is the Least Common Multiple of 50805 and 50820?

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 50805 and 50820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50805 and 50820, than apply into the LCM equation.

GCF(50805,50820) = 15
LCM(50805,50820) = ( 50805 × 50820) / 15
LCM(50805,50820) = 2581910100 / 15
LCM(50805,50820) = 172127340

Least Common Multiple (LCM) of 50805 and 50820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50805 and 50820. First we will calculate the prime factors of 50805 and 50820.

Prime Factorization of 50805

Prime Factorization of 50820

Now multiplying the highest exponent prime factors to calculate the LCM of 50805 and 50820.

LCM(50805,50820) = 3² × 5¹ × 1129¹ × 2² × 7¹ × 11²
LCM(50805,50820) = 172127340