What is the Least Common Multiple of 10172 and 10192?

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 10172 and 10192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10172 and 10192, than apply into the LCM equation.

GCF(10172,10192) = 4
LCM(10172,10192) = ( 10172 × 10192) / 4
LCM(10172,10192) = 103673024 / 4
LCM(10172,10192) = 25918256

Least Common Multiple (LCM) of 10172 and 10192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10172 and 10192. First we will calculate the prime factors of 10172 and 10192.

Prime Factorization of 10172

Prime Factorization of 10192

Now multiplying the highest exponent prime factors to calculate the LCM of 10172 and 10192.

LCM(10172,10192) = 2⁴ × 2543¹ × 7² × 13¹
LCM(10172,10192) = 25918256