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What is the Least Common Multiple of 18618 and 18628?

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 18618 and 18628 is 173408052.

LCM(18618,18628) = 173408052

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Least Common Multiple of 18618 and 18628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18618 and 18628, than apply into the LCM equation.

GCF(18618,18628) = 2
LCM(18618,18628) = ( 18618 × 18628) / 2
LCM(18618,18628) = 346816104 / 2
LCM(18618,18628) = 173408052

Least Common Multiple (LCM) of 18618 and 18628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18618 and 18628. First we will calculate the prime factors of 18618 and 18628.

Prime Factorization of 18618

Prime factors of 18618 are 2, 3, 29, 107. Prime factorization of 18618 in exponential form is:

18618 = 21 × 31 × 291 × 1071

Prime Factorization of 18628

Prime factors of 18628 are 2, 4657. Prime factorization of 18628 in exponential form is:

18628 = 22 × 46571

Now multiplying the highest exponent prime factors to calculate the LCM of 18618 and 18628.

LCM(18618,18628) = 22 × 31 × 291 × 1071 × 46571
LCM(18618,18628) = 173408052