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What is the Least Common Multiple of 10022 and 10036?

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 10022 and 10036 is 50290396.

LCM(10022,10036) = 50290396

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Least Common Multiple of 10022 and 10036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10022 and 10036, than apply into the LCM equation.

GCF(10022,10036) = 2
LCM(10022,10036) = ( 10022 × 10036) / 2
LCM(10022,10036) = 100580792 / 2
LCM(10022,10036) = 50290396

Least Common Multiple (LCM) of 10022 and 10036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10022 and 10036. First we will calculate the prime factors of 10022 and 10036.

Prime Factorization of 10022

Prime factors of 10022 are 2, 5011. Prime factorization of 10022 in exponential form is:

10022 = 21 × 50111

Prime Factorization of 10036

Prime factors of 10036 are 2, 13, 193. Prime factorization of 10036 in exponential form is:

10036 = 22 × 131 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 10022 and 10036.

LCM(10022,10036) = 22 × 50111 × 131 × 1931
LCM(10022,10036) = 50290396