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What is the Least Common Multiple of 88766 and 88786?

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 88766 and 88786 is 3940589038.

LCM(88766,88786) = 3940589038

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Least Common Multiple of 88766 and 88786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88766 and 88786, than apply into the LCM equation.

GCF(88766,88786) = 2
LCM(88766,88786) = ( 88766 × 88786) / 2
LCM(88766,88786) = 7881178076 / 2
LCM(88766,88786) = 3940589038

Least Common Multiple (LCM) of 88766 and 88786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88766 and 88786. First we will calculate the prime factors of 88766 and 88786.

Prime Factorization of 88766

Prime factors of 88766 are 2, 44383. Prime factorization of 88766 in exponential form is:

88766 = 21 × 443831

Prime Factorization of 88786

Prime factors of 88786 are 2, 103, 431. Prime factorization of 88786 in exponential form is:

88786 = 21 × 1031 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 88766 and 88786.

LCM(88766,88786) = 21 × 443831 × 1031 × 4311
LCM(88766,88786) = 3940589038