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What is the Least Common Multiple of 26472 and 26486?

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 26472 and 26486 is 350568696.

LCM(26472,26486) = 350568696

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Least Common Multiple of 26472 and 26486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26472 and 26486, than apply into the LCM equation.

GCF(26472,26486) = 2
LCM(26472,26486) = ( 26472 × 26486) / 2
LCM(26472,26486) = 701137392 / 2
LCM(26472,26486) = 350568696

Least Common Multiple (LCM) of 26472 and 26486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26472 and 26486. First we will calculate the prime factors of 26472 and 26486.

Prime Factorization of 26472

Prime factors of 26472 are 2, 3, 1103. Prime factorization of 26472 in exponential form is:

26472 = 23 × 31 × 11031

Prime Factorization of 26486

Prime factors of 26486 are 2, 17, 19, 41. Prime factorization of 26486 in exponential form is:

26486 = 21 × 171 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 26472 and 26486.

LCM(26472,26486) = 23 × 31 × 11031 × 171 × 191 × 411
LCM(26472,26486) = 350568696