What is the Least Common Multiple of 50096 and 50102?

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 50096 and 50102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50096 and 50102, than apply into the LCM equation.

GCF(50096,50102) = 2
LCM(50096,50102) = ( 50096 × 50102) / 2
LCM(50096,50102) = 2509909792 / 2
LCM(50096,50102) = 1254954896

Least Common Multiple (LCM) of 50096 and 50102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50096 and 50102. First we will calculate the prime factors of 50096 and 50102.

Prime Factorization of 50096

Prime Factorization of 50102

Now multiplying the highest exponent prime factors to calculate the LCM of 50096 and 50102.

LCM(50096,50102) = 2⁴ × 31¹ × 101¹ × 13¹ × 41¹ × 47¹
LCM(50096,50102) = 1254954896