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What is the Least Common Multiple of 10013 and 10028?

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 10013 and 10028 is 100410364.

LCM(10013,10028) = 100410364

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Least Common Multiple of 10013 and 10028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10013 and 10028, than apply into the LCM equation.

GCF(10013,10028) = 1
LCM(10013,10028) = ( 10013 × 10028) / 1
LCM(10013,10028) = 100410364 / 1
LCM(10013,10028) = 100410364

Least Common Multiple (LCM) of 10013 and 10028 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10013 and 10028. First we will calculate the prime factors of 10013 and 10028.

Prime Factorization of 10013

Prime factors of 10013 are 17, 19, 31. Prime factorization of 10013 in exponential form is:

10013 = 171 × 191 × 311

Prime Factorization of 10028

Prime factors of 10028 are 2, 23, 109. Prime factorization of 10028 in exponential form is:

10028 = 22 × 231 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 10013 and 10028.

LCM(10013,10028) = 171 × 191 × 311 × 22 × 231 × 1091
LCM(10013,10028) = 100410364