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What is the Least Common Multiple of 10190 and 10205?

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 10190 and 10205 is 20797790.

LCM(10190,10205) = 20797790

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Least Common Multiple of 10190 and 10205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10190 and 10205, than apply into the LCM equation.

GCF(10190,10205) = 5
LCM(10190,10205) = ( 10190 × 10205) / 5
LCM(10190,10205) = 103988950 / 5
LCM(10190,10205) = 20797790

Least Common Multiple (LCM) of 10190 and 10205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10190 and 10205. First we will calculate the prime factors of 10190 and 10205.

Prime Factorization of 10190

Prime factors of 10190 are 2, 5, 1019. Prime factorization of 10190 in exponential form is:

10190 = 21 × 51 × 10191

Prime Factorization of 10205

Prime factors of 10205 are 5, 13, 157. Prime factorization of 10205 in exponential form is:

10205 = 51 × 131 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 10190 and 10205.

LCM(10190,10205) = 21 × 51 × 10191 × 131 × 1571
LCM(10190,10205) = 20797790