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What is the Least Common Multiple of 26467 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 26467 and 26486 is 36894998.

LCM(26467,26486) = 36894998

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Least Common Multiple of 26467 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 26467 and 26486, than apply into the LCM equation.

GCF(26467,26486) = 19
LCM(26467,26486) = ( 26467 × 26486) / 19
LCM(26467,26486) = 701004962 / 19
LCM(26467,26486) = 36894998

Least Common Multiple (LCM) of 26467 and 26486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26467 and 26486. First we will calculate the prime factors of 26467 and 26486.

Prime Factorization of 26467

Prime factors of 26467 are 7, 19, 199. Prime factorization of 26467 in exponential form is:

26467 = 71 × 191 × 1991

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 26467 and 26486.

LCM(26467,26486) = 71 × 191 × 1991 × 21 × 171 × 411
LCM(26467,26486) = 36894998