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What is the Least Common Multiple of 26470 and 26476?

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 26470 and 26476 is 350409860.

LCM(26470,26476) = 350409860

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Least Common Multiple of 26470 and 26476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26470 and 26476, than apply into the LCM equation.

GCF(26470,26476) = 2
LCM(26470,26476) = ( 26470 × 26476) / 2
LCM(26470,26476) = 700819720 / 2
LCM(26470,26476) = 350409860

Least Common Multiple (LCM) of 26470 and 26476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26470 and 26476. First we will calculate the prime factors of 26470 and 26476.

Prime Factorization of 26470

Prime factors of 26470 are 2, 5, 2647. Prime factorization of 26470 in exponential form is:

26470 = 21 × 51 × 26471

Prime Factorization of 26476

Prime factors of 26476 are 2, 6619. Prime factorization of 26476 in exponential form is:

26476 = 22 × 66191

Now multiplying the highest exponent prime factors to calculate the LCM of 26470 and 26476.

LCM(26470,26476) = 22 × 51 × 26471 × 66191
LCM(26470,26476) = 350409860