What is the Least Common Multiple of 50138 and 50154?

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 50138 and 50154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50138 and 50154, than apply into the LCM equation.

GCF(50138,50154) = 2
LCM(50138,50154) = ( 50138 × 50154) / 2
LCM(50138,50154) = 2514621252 / 2
LCM(50138,50154) = 1257310626

Least Common Multiple (LCM) of 50138 and 50154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50138 and 50154. First we will calculate the prime factors of 50138 and 50154.

Prime Factorization of 50138

Prime Factorization of 50154

Now multiplying the highest exponent prime factors to calculate the LCM of 50138 and 50154.

LCM(50138,50154) = 2¹ × 11¹ × 43¹ × 53¹ × 3¹ × 13¹ × 643¹
LCM(50138,50154) = 1257310626