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What is the Least Common Multiple of 16618 and 16628?

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 16618 and 16628 is 138162052.

LCM(16618,16628) = 138162052

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Least Common Multiple of 16618 and 16628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16618 and 16628, than apply into the LCM equation.

GCF(16618,16628) = 2
LCM(16618,16628) = ( 16618 × 16628) / 2
LCM(16618,16628) = 276324104 / 2
LCM(16618,16628) = 138162052

Least Common Multiple (LCM) of 16618 and 16628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16618 and 16628. First we will calculate the prime factors of 16618 and 16628.

Prime Factorization of 16618

Prime factors of 16618 are 2, 7, 1187. Prime factorization of 16618 in exponential form is:

16618 = 21 × 71 × 11871

Prime Factorization of 16628

Prime factors of 16628 are 2, 4157. Prime factorization of 16628 in exponential form is:

16628 = 22 × 41571

Now multiplying the highest exponent prime factors to calculate the LCM of 16618 and 16628.

LCM(16618,16628) = 22 × 71 × 11871 × 41571
LCM(16618,16628) = 138162052