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What is the Least Common Multiple of 26623 and 26635?

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 26623 and 26635 is 709103605.

LCM(26623,26635) = 709103605

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Least Common Multiple of 26623 and 26635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26623 and 26635, than apply into the LCM equation.

GCF(26623,26635) = 1
LCM(26623,26635) = ( 26623 × 26635) / 1
LCM(26623,26635) = 709103605 / 1
LCM(26623,26635) = 709103605

Least Common Multiple (LCM) of 26623 and 26635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26623 and 26635. First we will calculate the prime factors of 26623 and 26635.

Prime Factorization of 26623

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

26623 = 791 × 3371

Prime Factorization of 26635

Prime factors of 26635 are 5, 7, 761. Prime factorization of 26635 in exponential form is:

26635 = 51 × 71 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 26623 and 26635.

LCM(26623,26635) = 791 × 3371 × 51 × 71 × 7611
LCM(26623,26635) = 709103605