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What is the Least Common Multiple of 10422 and 10436?

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 10422 and 10436 is 54381996.

LCM(10422,10436) = 54381996

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Least Common Multiple of 10422 and 10436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10422 and 10436, than apply into the LCM equation.

GCF(10422,10436) = 2
LCM(10422,10436) = ( 10422 × 10436) / 2
LCM(10422,10436) = 108763992 / 2
LCM(10422,10436) = 54381996

Least Common Multiple (LCM) of 10422 and 10436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10422 and 10436. First we will calculate the prime factors of 10422 and 10436.

Prime Factorization of 10422

Prime factors of 10422 are 2, 3, 193. Prime factorization of 10422 in exponential form is:

10422 = 21 × 33 × 1931

Prime Factorization of 10436

Prime factors of 10436 are 2, 2609. Prime factorization of 10436 in exponential form is:

10436 = 22 × 26091

Now multiplying the highest exponent prime factors to calculate the LCM of 10422 and 10436.

LCM(10422,10436) = 22 × 33 × 1931 × 26091
LCM(10422,10436) = 54381996