What is the Least Common Multiple of 10192 and 10200?

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 10192 and 10200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10192 and 10200, than apply into the LCM equation.

GCF(10192,10200) = 8
LCM(10192,10200) = ( 10192 × 10200) / 8
LCM(10192,10200) = 103958400 / 8
LCM(10192,10200) = 12994800

Least Common Multiple (LCM) of 10192 and 10200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10192 and 10200. First we will calculate the prime factors of 10192 and 10200.

Prime Factorization of 10192

Prime Factorization of 10200

Now multiplying the highest exponent prime factors to calculate the LCM of 10192 and 10200.

LCM(10192,10200) = 2⁴ × 7² × 13¹ × 3¹ × 5² × 17¹
LCM(10192,10200) = 12994800