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What is the Least Common Multiple of 80158 and 80162?

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 80158 and 80162 is 3212812798.

LCM(80158,80162) = 3212812798

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Least Common Multiple of 80158 and 80162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80158 and 80162, than apply into the LCM equation.

GCF(80158,80162) = 2
LCM(80158,80162) = ( 80158 × 80162) / 2
LCM(80158,80162) = 6425625596 / 2
LCM(80158,80162) = 3212812798

Least Common Multiple (LCM) of 80158 and 80162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80158 and 80162. First we will calculate the prime factors of 80158 and 80162.

Prime Factorization of 80158

Prime factors of 80158 are 2, 13, 3083. Prime factorization of 80158 in exponential form is:

80158 = 21 × 131 × 30831

Prime Factorization of 80162

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

80162 = 21 × 1491 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 80158 and 80162.

LCM(80158,80162) = 21 × 131 × 30831 × 1491 × 2691
LCM(80158,80162) = 3212812798