What is the Least Common Multiple of 50102 and 50112?

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 50102 and 50112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50102 and 50112, than apply into the LCM equation.

GCF(50102,50112) = 2
LCM(50102,50112) = ( 50102 × 50112) / 2
LCM(50102,50112) = 2510711424 / 2
LCM(50102,50112) = 1255355712

Least Common Multiple (LCM) of 50102 and 50112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50102 and 50112. First we will calculate the prime factors of 50102 and 50112.

Prime Factorization of 50102

Prime Factorization of 50112

Now multiplying the highest exponent prime factors to calculate the LCM of 50102 and 50112.

LCM(50102,50112) = 2⁶ × 13¹ × 41¹ × 47¹ × 3³ × 29¹
LCM(50102,50112) = 1255355712