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What is the Least Common Multiple of 10411 and 10420?

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 10411 and 10420 is 108482620.

LCM(10411,10420) = 108482620

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Least Common Multiple of 10411 and 10420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10411 and 10420, than apply into the LCM equation.

GCF(10411,10420) = 1
LCM(10411,10420) = ( 10411 × 10420) / 1
LCM(10411,10420) = 108482620 / 1
LCM(10411,10420) = 108482620

Least Common Multiple (LCM) of 10411 and 10420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10411 and 10420. First we will calculate the prime factors of 10411 and 10420.

Prime Factorization of 10411

Prime factors of 10411 are 29, 359. Prime factorization of 10411 in exponential form is:

10411 = 291 × 3591

Prime Factorization of 10420

Prime factors of 10420 are 2, 5, 521. Prime factorization of 10420 in exponential form is:

10420 = 22 × 51 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 10411 and 10420.

LCM(10411,10420) = 291 × 3591 × 22 × 51 × 5211
LCM(10411,10420) = 108482620