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What is the Least Common Multiple of 80863 and 80868?

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 80863 and 80868 is 6539229084.

LCM(80863,80868) = 6539229084

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Least Common Multiple of 80863 and 80868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80863 and 80868, than apply into the LCM equation.

GCF(80863,80868) = 1
LCM(80863,80868) = ( 80863 × 80868) / 1
LCM(80863,80868) = 6539229084 / 1
LCM(80863,80868) = 6539229084

Least Common Multiple (LCM) of 80863 and 80868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80863 and 80868. First we will calculate the prime factors of 80863 and 80868.

Prime Factorization of 80863

Prime factors of 80863 are 80863. Prime factorization of 80863 in exponential form is:

80863 = 808631

Prime Factorization of 80868

Prime factors of 80868 are 2, 3, 23, 293. Prime factorization of 80868 in exponential form is:

80868 = 22 × 31 × 231 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 80863 and 80868.

LCM(80863,80868) = 808631 × 22 × 31 × 231 × 2931
LCM(80863,80868) = 6539229084