What is the Least Common Multiple of 10114 and 10128?

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 10114 and 10128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10114 and 10128, than apply into the LCM equation.

GCF(10114,10128) = 2
LCM(10114,10128) = ( 10114 × 10128) / 2
LCM(10114,10128) = 102434592 / 2
LCM(10114,10128) = 51217296

Least Common Multiple (LCM) of 10114 and 10128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10114 and 10128. First we will calculate the prime factors of 10114 and 10128.

Prime Factorization of 10114

Prime Factorization of 10128

Now multiplying the highest exponent prime factors to calculate the LCM of 10114 and 10128.

LCM(10114,10128) = 2⁴ × 13¹ × 389¹ × 3¹ × 211¹
LCM(10114,10128) = 51217296