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What is the Least Common Multiple of 10010 and 10021?

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 10010 and 10021 is 9119110.

LCM(10010,10021) = 9119110

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Least Common Multiple of 10010 and 10021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10010 and 10021, than apply into the LCM equation.

GCF(10010,10021) = 11
LCM(10010,10021) = ( 10010 × 10021) / 11
LCM(10010,10021) = 100310210 / 11
LCM(10010,10021) = 9119110

Least Common Multiple (LCM) of 10010 and 10021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10010 and 10021. First we will calculate the prime factors of 10010 and 10021.

Prime Factorization of 10010

Prime factors of 10010 are 2, 5, 7, 11, 13. Prime factorization of 10010 in exponential form is:

10010 = 21 × 51 × 71 × 111 × 131

Prime Factorization of 10021

Prime factors of 10021 are 11, 911. Prime factorization of 10021 in exponential form is:

10021 = 111 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 10010 and 10021.

LCM(10010,10021) = 21 × 51 × 71 × 111 × 131 × 9111
LCM(10010,10021) = 9119110