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What is the Least Common Multiple of 80609 and 80618?

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 80609 and 80618 is 6498536362.

LCM(80609,80618) = 6498536362

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Least Common Multiple of 80609 and 80618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80609 and 80618, than apply into the LCM equation.

GCF(80609,80618) = 1
LCM(80609,80618) = ( 80609 × 80618) / 1
LCM(80609,80618) = 6498536362 / 1
LCM(80609,80618) = 6498536362

Least Common Multiple (LCM) of 80609 and 80618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80609 and 80618. First we will calculate the prime factors of 80609 and 80618.

Prime Factorization of 80609

Prime factors of 80609 are 149, 541. Prime factorization of 80609 in exponential form is:

80609 = 1491 × 5411

Prime Factorization of 80618

Prime factors of 80618 are 2, 173, 233. Prime factorization of 80618 in exponential form is:

80618 = 21 × 1731 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 80609 and 80618.

LCM(80609,80618) = 1491 × 5411 × 21 × 1731 × 2331
LCM(80609,80618) = 6498536362