What is the Least Common Multiple of 10185 and 10196?

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 10185 and 10196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10185 and 10196, than apply into the LCM equation.

GCF(10185,10196) = 1
LCM(10185,10196) = ( 10185 × 10196) / 1
LCM(10185,10196) = 103846260 / 1
LCM(10185,10196) = 103846260

Least Common Multiple (LCM) of 10185 and 10196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10185 and 10196. First we will calculate the prime factors of 10185 and 10196.

Prime Factorization of 10185

Prime Factorization of 10196

Now multiplying the highest exponent prime factors to calculate the LCM of 10185 and 10196.

LCM(10185,10196) = 3¹ × 5¹ × 7¹ × 97¹ × 2² × 2549¹
LCM(10185,10196) = 103846260