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What is the Least Common Multiple of 27881 and 27885?

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 27881 and 27885 is 777461685.

LCM(27881,27885) = 777461685

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Least Common Multiple of 27881 and 27885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27881 and 27885, than apply into the LCM equation.

GCF(27881,27885) = 1
LCM(27881,27885) = ( 27881 × 27885) / 1
LCM(27881,27885) = 777461685 / 1
LCM(27881,27885) = 777461685

Least Common Multiple (LCM) of 27881 and 27885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27881 and 27885. First we will calculate the prime factors of 27881 and 27885.

Prime Factorization of 27881

Prime factors of 27881 are 7, 569. Prime factorization of 27881 in exponential form is:

27881 = 72 × 5691

Prime Factorization of 27885

Prime factors of 27885 are 3, 5, 11, 13. Prime factorization of 27885 in exponential form is:

27885 = 31 × 51 × 111 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 27881 and 27885.

LCM(27881,27885) = 72 × 5691 × 31 × 51 × 111 × 132
LCM(27881,27885) = 777461685