What is the Least Common Multiple of 50451 and 50457?

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 50451 and 50457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50451 and 50457, than apply into the LCM equation.

GCF(50451,50457) = 3
LCM(50451,50457) = ( 50451 × 50457) / 3
LCM(50451,50457) = 2545606107 / 3
LCM(50451,50457) = 848535369

Least Common Multiple (LCM) of 50451 and 50457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50451 and 50457. First we will calculate the prime factors of 50451 and 50457.

Prime Factorization of 50451

Prime Factorization of 50457

Now multiplying the highest exponent prime factors to calculate the LCM of 50451 and 50457.

LCM(50451,50457) = 3¹ × 67¹ × 251¹ × 11² × 139¹
LCM(50451,50457) = 848535369