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What is the Least Common Multiple of 26454 and 26469?

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 26454 and 26469 is 233403642.

LCM(26454,26469) = 233403642

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Least Common Multiple of 26454 and 26469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26454 and 26469, than apply into the LCM equation.

GCF(26454,26469) = 3
LCM(26454,26469) = ( 26454 × 26469) / 3
LCM(26454,26469) = 700210926 / 3
LCM(26454,26469) = 233403642

Least Common Multiple (LCM) of 26454 and 26469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26454 and 26469. First we will calculate the prime factors of 26454 and 26469.

Prime Factorization of 26454

Prime factors of 26454 are 2, 3, 4409. Prime factorization of 26454 in exponential form is:

26454 = 21 × 31 × 44091

Prime Factorization of 26469

Prime factors of 26469 are 3, 17, 173. Prime factorization of 26469 in exponential form is:

26469 = 32 × 171 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 26454 and 26469.

LCM(26454,26469) = 21 × 32 × 44091 × 171 × 1731
LCM(26454,26469) = 233403642