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What is the Least Common Multiple of 76611 and 76618?

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 76611 and 76618 is 5869781598.

LCM(76611,76618) = 5869781598

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Least Common Multiple of 76611 and 76618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76611 and 76618, than apply into the LCM equation.

GCF(76611,76618) = 1
LCM(76611,76618) = ( 76611 × 76618) / 1
LCM(76611,76618) = 5869781598 / 1
LCM(76611,76618) = 5869781598

Least Common Multiple (LCM) of 76611 and 76618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76611 and 76618. First we will calculate the prime factors of 76611 and 76618.

Prime Factorization of 76611

Prime factors of 76611 are 3, 25537. Prime factorization of 76611 in exponential form is:

76611 = 31 × 255371

Prime Factorization of 76618

Prime factors of 76618 are 2, 29, 1321. Prime factorization of 76618 in exponential form is:

76618 = 21 × 291 × 13211

Now multiplying the highest exponent prime factors to calculate the LCM of 76611 and 76618.

LCM(76611,76618) = 31 × 255371 × 21 × 291 × 13211
LCM(76611,76618) = 5869781598