What is the Least Common Multiple of 10113 and 10127?

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 10113 and 10127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10113 and 10127, than apply into the LCM equation.

GCF(10113,10127) = 1
LCM(10113,10127) = ( 10113 × 10127) / 1
LCM(10113,10127) = 102414351 / 1
LCM(10113,10127) = 102414351

Least Common Multiple (LCM) of 10113 and 10127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10113 and 10127. First we will calculate the prime factors of 10113 and 10127.

Prime Factorization of 10113

Prime Factorization of 10127

Now multiplying the highest exponent prime factors to calculate the LCM of 10113 and 10127.

LCM(10113,10127) = 3¹ × 3371¹ × 13¹ × 19¹ × 41¹
LCM(10113,10127) = 102414351