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What is the Least Common Multiple of 27761 and 27765?

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 27761 and 27765 is 770784165.

LCM(27761,27765) = 770784165

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Least Common Multiple of 27761 and 27765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27761 and 27765, than apply into the LCM equation.

GCF(27761,27765) = 1
LCM(27761,27765) = ( 27761 × 27765) / 1
LCM(27761,27765) = 770784165 / 1
LCM(27761,27765) = 770784165

Least Common Multiple (LCM) of 27761 and 27765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27761 and 27765. First we will calculate the prime factors of 27761 and 27765.

Prime Factorization of 27761

Prime factors of 27761 are 17, 23, 71. Prime factorization of 27761 in exponential form is:

27761 = 171 × 231 × 711

Prime Factorization of 27765

Prime factors of 27765 are 3, 5, 617. Prime factorization of 27765 in exponential form is:

27765 = 32 × 51 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 27761 and 27765.

LCM(27761,27765) = 171 × 231 × 711 × 32 × 51 × 6171
LCM(27761,27765) = 770784165