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What is the Least Common Multiple of 26376 and 26390?

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 26376 and 26390 is 49718760.

LCM(26376,26390) = 49718760

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Least Common Multiple of 26376 and 26390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26376 and 26390, than apply into the LCM equation.

GCF(26376,26390) = 14
LCM(26376,26390) = ( 26376 × 26390) / 14
LCM(26376,26390) = 696062640 / 14
LCM(26376,26390) = 49718760

Least Common Multiple (LCM) of 26376 and 26390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26376 and 26390. First we will calculate the prime factors of 26376 and 26390.

Prime Factorization of 26376

Prime factors of 26376 are 2, 3, 7, 157. Prime factorization of 26376 in exponential form is:

26376 = 23 × 31 × 71 × 1571

Prime Factorization of 26390

Prime factors of 26390 are 2, 5, 7, 13, 29. Prime factorization of 26390 in exponential form is:

26390 = 21 × 51 × 71 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 26376 and 26390.

LCM(26376,26390) = 23 × 31 × 71 × 1571 × 51 × 131 × 291
LCM(26376,26390) = 49718760