What is the Least Common Multiple of 10198 and 10202?

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 10198 and 10202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10198 and 10202, than apply into the LCM equation.

GCF(10198,10202) = 2
LCM(10198,10202) = ( 10198 × 10202) / 2
LCM(10198,10202) = 104039996 / 2
LCM(10198,10202) = 52019998

Least Common Multiple (LCM) of 10198 and 10202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10198 and 10202. First we will calculate the prime factors of 10198 and 10202.

Prime Factorization of 10198

Prime Factorization of 10202

Now multiplying the highest exponent prime factors to calculate the LCM of 10198 and 10202.

LCM(10198,10202) = 2¹ × 5099¹ × 5101¹
LCM(10198,10202) = 52019998