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What is the Least Common Multiple of 80099 and 80119?

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 80099 and 80119 is 6417451781.

LCM(80099,80119) = 6417451781

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Least Common Multiple of 80099 and 80119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80099 and 80119, than apply into the LCM equation.

GCF(80099,80119) = 1
LCM(80099,80119) = ( 80099 × 80119) / 1
LCM(80099,80119) = 6417451781 / 1
LCM(80099,80119) = 6417451781

Least Common Multiple (LCM) of 80099 and 80119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80099 and 80119. First we will calculate the prime factors of 80099 and 80119.

Prime Factorization of 80099

Prime factors of 80099 are 173, 463. Prime factorization of 80099 in exponential form is:

80099 = 1731 × 4631

Prime Factorization of 80119

Prime factors of 80119 are 13, 6163. Prime factorization of 80119 in exponential form is:

80119 = 131 × 61631

Now multiplying the highest exponent prime factors to calculate the LCM of 80099 and 80119.

LCM(80099,80119) = 1731 × 4631 × 131 × 61631
LCM(80099,80119) = 6417451781