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What is the Least Common Multiple of 80162 and 80177?

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 80162 and 80177 is 6427148674.

LCM(80162,80177) = 6427148674

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Least Common Multiple of 80162 and 80177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80162 and 80177, than apply into the LCM equation.

GCF(80162,80177) = 1
LCM(80162,80177) = ( 80162 × 80177) / 1
LCM(80162,80177) = 6427148674 / 1
LCM(80162,80177) = 6427148674

Least Common Multiple (LCM) of 80162 and 80177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80162 and 80177. First we will calculate the prime factors of 80162 and 80177.

Prime Factorization of 80162

Prime factors of 80162 are 2, 149, 269. Prime factorization of 80162 in exponential form is:

80162 = 21 × 1491 × 2691

Prime Factorization of 80177

Prime factors of 80177 are 80177. Prime factorization of 80177 in exponential form is:

80177 = 801771

Now multiplying the highest exponent prime factors to calculate the LCM of 80162 and 80177.

LCM(80162,80177) = 21 × 1491 × 2691 × 801771
LCM(80162,80177) = 6427148674