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What is the Least Common Multiple of 80453 and 80467?

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 80453 and 80467 is 6473811551.

LCM(80453,80467) = 6473811551

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Least Common Multiple of 80453 and 80467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80453 and 80467, than apply into the LCM equation.

GCF(80453,80467) = 1
LCM(80453,80467) = ( 80453 × 80467) / 1
LCM(80453,80467) = 6473811551 / 1
LCM(80453,80467) = 6473811551

Least Common Multiple (LCM) of 80453 and 80467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80453 and 80467. First we will calculate the prime factors of 80453 and 80467.

Prime Factorization of 80453

Prime factors of 80453 are 43, 1871. Prime factorization of 80453 in exponential form is:

80453 = 431 × 18711

Prime Factorization of 80467

Prime factors of 80467 are 67, 1201. Prime factorization of 80467 in exponential form is:

80467 = 671 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 80453 and 80467.

LCM(80453,80467) = 431 × 18711 × 671 × 12011
LCM(80453,80467) = 6473811551