What is the Least Common Multiple of 50258 and 50276?

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 50258 and 50276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50258 and 50276, than apply into the LCM equation.

GCF(50258,50276) = 2
LCM(50258,50276) = ( 50258 × 50276) / 2
LCM(50258,50276) = 2526771208 / 2
LCM(50258,50276) = 1263385604

Least Common Multiple (LCM) of 50258 and 50276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50258 and 50276. First we will calculate the prime factors of 50258 and 50276.

Prime Factorization of 50258

Prime Factorization of 50276

Now multiplying the highest exponent prime factors to calculate the LCM of 50258 and 50276.

LCM(50258,50276) = 2² × 13¹ × 1933¹ × 12569¹
LCM(50258,50276) = 1263385604