What is the Least Common Multiple of 50810 and 50827?

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 50810 and 50827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50810 and 50827, than apply into the LCM equation.

GCF(50810,50827) = 1
LCM(50810,50827) = ( 50810 × 50827) / 1
LCM(50810,50827) = 2582519870 / 1
LCM(50810,50827) = 2582519870

Least Common Multiple (LCM) of 50810 and 50827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50810 and 50827. First we will calculate the prime factors of 50810 and 50827.

Prime Factorization of 50810

Prime Factorization of 50827

Now multiplying the highest exponent prime factors to calculate the LCM of 50810 and 50827.

LCM(50810,50827) = 2¹ × 5¹ × 5081¹ × 7¹ × 53¹ × 137¹
LCM(50810,50827) = 2582519870