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What is the Least Common Multiple of 10291 and 10300?

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 10291 and 10300 is 105997300.

LCM(10291,10300) = 105997300

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Least Common Multiple of 10291 and 10300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10291 and 10300, than apply into the LCM equation.

GCF(10291,10300) = 1
LCM(10291,10300) = ( 10291 × 10300) / 1
LCM(10291,10300) = 105997300 / 1
LCM(10291,10300) = 105997300

Least Common Multiple (LCM) of 10291 and 10300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10291 and 10300. First we will calculate the prime factors of 10291 and 10300.

Prime Factorization of 10291

Prime factors of 10291 are 41, 251. Prime factorization of 10291 in exponential form is:

10291 = 411 × 2511

Prime Factorization of 10300

Prime factors of 10300 are 2, 5, 103. Prime factorization of 10300 in exponential form is:

10300 = 22 × 52 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 10291 and 10300.

LCM(10291,10300) = 411 × 2511 × 22 × 52 × 1031
LCM(10291,10300) = 105997300