What is the Least Common Multiple of 50638 and 50654?

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 50638 and 50654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50638 and 50654, than apply into the LCM equation.

GCF(50638,50654) = 2
LCM(50638,50654) = ( 50638 × 50654) / 2
LCM(50638,50654) = 2565017252 / 2
LCM(50638,50654) = 1282508626

Least Common Multiple (LCM) of 50638 and 50654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50638 and 50654. First we will calculate the prime factors of 50638 and 50654.

Prime Factorization of 50638

Prime Factorization of 50654

Now multiplying the highest exponent prime factors to calculate the LCM of 50638 and 50654.

LCM(50638,50654) = 2¹ × 7¹ × 3617¹ × 19¹ × 31¹ × 43¹
LCM(50638,50654) = 1282508626