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What is the Least Common Multiple of 26761 and 26765?

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 26761 and 26765 is 716258165.

LCM(26761,26765) = 716258165

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Least Common Multiple of 26761 and 26765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26761 and 26765, than apply into the LCM equation.

GCF(26761,26765) = 1
LCM(26761,26765) = ( 26761 × 26765) / 1
LCM(26761,26765) = 716258165 / 1
LCM(26761,26765) = 716258165

Least Common Multiple (LCM) of 26761 and 26765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26761 and 26765. First we will calculate the prime factors of 26761 and 26765.

Prime Factorization of 26761

Prime factors of 26761 are 7, 3823. Prime factorization of 26761 in exponential form is:

26761 = 71 × 38231

Prime Factorization of 26765

Prime factors of 26765 are 5, 53, 101. Prime factorization of 26765 in exponential form is:

26765 = 51 × 531 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 26761 and 26765.

LCM(26761,26765) = 71 × 38231 × 51 × 531 × 1011
LCM(26761,26765) = 716258165