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What is the Least Common Multiple of 26619 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 26619 and 26635 is 708997065.

LCM(26619,26635) = 708997065

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Least Common Multiple of 26619 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 26619 and 26635, than apply into the LCM equation.

GCF(26619,26635) = 1
LCM(26619,26635) = ( 26619 × 26635) / 1
LCM(26619,26635) = 708997065 / 1
LCM(26619,26635) = 708997065

Least Common Multiple (LCM) of 26619 and 26635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26619 and 26635. First we will calculate the prime factors of 26619 and 26635.

Prime Factorization of 26619

Prime factors of 26619 are 3, 19, 467. Prime factorization of 26619 in exponential form is:

26619 = 31 × 191 × 4671

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 26619 and 26635.

LCM(26619,26635) = 31 × 191 × 4671 × 51 × 71 × 7611
LCM(26619,26635) = 708997065