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What is the Least Common Multiple of 15426 and 15441?

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 15426 and 15441 is 79397622.

LCM(15426,15441) = 79397622

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Least Common Multiple of 15426 and 15441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15426 and 15441, than apply into the LCM equation.

GCF(15426,15441) = 3
LCM(15426,15441) = ( 15426 × 15441) / 3
LCM(15426,15441) = 238192866 / 3
LCM(15426,15441) = 79397622

Least Common Multiple (LCM) of 15426 and 15441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15426 and 15441. First we will calculate the prime factors of 15426 and 15441.

Prime Factorization of 15426

Prime factors of 15426 are 2, 3, 857. Prime factorization of 15426 in exponential form is:

15426 = 21 × 32 × 8571

Prime Factorization of 15441

Prime factors of 15441 are 3, 5147. Prime factorization of 15441 in exponential form is:

15441 = 31 × 51471

Now multiplying the highest exponent prime factors to calculate the LCM of 15426 and 15441.

LCM(15426,15441) = 21 × 32 × 8571 × 51471
LCM(15426,15441) = 79397622