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What is the Least Common Multiple of 7606 and 7618?

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 7606 and 7618 is 28971254.

LCM(7606,7618) = 28971254

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Least Common Multiple of 7606 and 7618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7606 and 7618, than apply into the LCM equation.

GCF(7606,7618) = 2
LCM(7606,7618) = ( 7606 × 7618) / 2
LCM(7606,7618) = 57942508 / 2
LCM(7606,7618) = 28971254

Least Common Multiple (LCM) of 7606 and 7618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7606 and 7618. First we will calculate the prime factors of 7606 and 7618.

Prime Factorization of 7606

Prime factors of 7606 are 2, 3803. Prime factorization of 7606 in exponential form is:

7606 = 21 × 38031

Prime Factorization of 7618

Prime factors of 7618 are 2, 13, 293. Prime factorization of 7618 in exponential form is:

7618 = 21 × 131 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 7606 and 7618.

LCM(7606,7618) = 21 × 38031 × 131 × 2931
LCM(7606,7618) = 28971254