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What is the Least Common Multiple of 26603 and 26623?

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 26603 and 26623 is 708251669.

LCM(26603,26623) = 708251669

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Least Common Multiple of 26603 and 26623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26603 and 26623, than apply into the LCM equation.

GCF(26603,26623) = 1
LCM(26603,26623) = ( 26603 × 26623) / 1
LCM(26603,26623) = 708251669 / 1
LCM(26603,26623) = 708251669

Least Common Multiple (LCM) of 26603 and 26623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26603 and 26623. First we will calculate the prime factors of 26603 and 26623.

Prime Factorization of 26603

Prime factors of 26603 are 37, 719. Prime factorization of 26603 in exponential form is:

26603 = 371 × 7191

Prime Factorization of 26623

Prime factors of 26623 are 79, 337. Prime factorization of 26623 in exponential form is:

26623 = 791 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 26603 and 26623.

LCM(26603,26623) = 371 × 7191 × 791 × 3371
LCM(26603,26623) = 708251669