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What is the Least Common Multiple of 10019 and 10023?

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 10019 and 10023 is 100420437.

LCM(10019,10023) = 100420437

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Least Common Multiple of 10019 and 10023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10019 and 10023, than apply into the LCM equation.

GCF(10019,10023) = 1
LCM(10019,10023) = ( 10019 × 10023) / 1
LCM(10019,10023) = 100420437 / 1
LCM(10019,10023) = 100420437

Least Common Multiple (LCM) of 10019 and 10023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10019 and 10023. First we will calculate the prime factors of 10019 and 10023.

Prime Factorization of 10019

Prime factors of 10019 are 43, 233. Prime factorization of 10019 in exponential form is:

10019 = 431 × 2331

Prime Factorization of 10023

Prime factors of 10023 are 3, 13, 257. Prime factorization of 10023 in exponential form is:

10023 = 31 × 131 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 10019 and 10023.

LCM(10019,10023) = 431 × 2331 × 31 × 131 × 2571
LCM(10019,10023) = 100420437