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What is the Least Common Multiple of 26469 and 26473?

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 26469 and 26473 is 700713837.

LCM(26469,26473) = 700713837

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Least Common Multiple of 26469 and 26473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26469 and 26473, than apply into the LCM equation.

GCF(26469,26473) = 1
LCM(26469,26473) = ( 26469 × 26473) / 1
LCM(26469,26473) = 700713837 / 1
LCM(26469,26473) = 700713837

Least Common Multiple (LCM) of 26469 and 26473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26469 and 26473. First we will calculate the prime factors of 26469 and 26473.

Prime Factorization of 26469

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

26469 = 32 × 171 × 1731

Prime Factorization of 26473

Prime factors of 26473 are 23, 1151. Prime factorization of 26473 in exponential form is:

26473 = 231 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 26469 and 26473.

LCM(26469,26473) = 32 × 171 × 1731 × 231 × 11511
LCM(26469,26473) = 700713837