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What is the Least Common Multiple of 80897 and 80907?

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 80897 and 80907 is 6545133579.

LCM(80897,80907) = 6545133579

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Least Common Multiple of 80897 and 80907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80897 and 80907, than apply into the LCM equation.

GCF(80897,80907) = 1
LCM(80897,80907) = ( 80897 × 80907) / 1
LCM(80897,80907) = 6545133579 / 1
LCM(80897,80907) = 6545133579

Least Common Multiple (LCM) of 80897 and 80907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80897 and 80907. First we will calculate the prime factors of 80897 and 80907.

Prime Factorization of 80897

Prime factors of 80897 are 80897. Prime factorization of 80897 in exponential form is:

80897 = 808971

Prime Factorization of 80907

Prime factors of 80907 are 3, 149, 181. Prime factorization of 80907 in exponential form is:

80907 = 31 × 1491 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 80897 and 80907.

LCM(80897,80907) = 808971 × 31 × 1491 × 1811
LCM(80897,80907) = 6545133579