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What is the Least Common Multiple of 66618 and 66629?

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 66618 and 66629 is 4438690722.

LCM(66618,66629) = 4438690722

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Least Common Multiple of 66618 and 66629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66618 and 66629, than apply into the LCM equation.

GCF(66618,66629) = 1
LCM(66618,66629) = ( 66618 × 66629) / 1
LCM(66618,66629) = 4438690722 / 1
LCM(66618,66629) = 4438690722

Least Common Multiple (LCM) of 66618 and 66629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66618 and 66629. First we will calculate the prime factors of 66618 and 66629.

Prime Factorization of 66618

Prime factors of 66618 are 2, 3, 3701. Prime factorization of 66618 in exponential form is:

66618 = 21 × 32 × 37011

Prime Factorization of 66629

Prime factors of 66629 are 66629. Prime factorization of 66629 in exponential form is:

66629 = 666291

Now multiplying the highest exponent prime factors to calculate the LCM of 66618 and 66629.

LCM(66618,66629) = 21 × 32 × 37011 × 666291
LCM(66618,66629) = 4438690722