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What is the Least Common Multiple of 10189 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 (LCM) of 10189 and 10202 is 103948178.

LCM(10189,10202) = 103948178

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Least Common Multiple of 10189 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 10189 and 10202, than apply into the LCM equation.

GCF(10189,10202) = 1
LCM(10189,10202) = ( 10189 × 10202) / 1
LCM(10189,10202) = 103948178 / 1
LCM(10189,10202) = 103948178

Least Common Multiple (LCM) of 10189 and 10202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10189 and 10202. First we will calculate the prime factors of 10189 and 10202.

Prime Factorization of 10189

Prime factors of 10189 are 23, 443. Prime factorization of 10189 in exponential form is:

10189 = 231 × 4431

Prime Factorization of 10202

Prime factors of 10202 are 2, 5101. Prime factorization of 10202 in exponential form is:

10202 = 21 × 51011

Now multiplying the highest exponent prime factors to calculate the LCM of 10189 and 10202.

LCM(10189,10202) = 231 × 4431 × 21 × 51011
LCM(10189,10202) = 103948178