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What is the Least Common Multiple of 80107 and 80118?

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 80107 and 80118 is 6418012626.

LCM(80107,80118) = 6418012626

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Least Common Multiple of 80107 and 80118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80107 and 80118, than apply into the LCM equation.

GCF(80107,80118) = 1
LCM(80107,80118) = ( 80107 × 80118) / 1
LCM(80107,80118) = 6418012626 / 1
LCM(80107,80118) = 6418012626

Least Common Multiple (LCM) of 80107 and 80118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80107 and 80118. First we will calculate the prime factors of 80107 and 80118.

Prime Factorization of 80107

Prime factors of 80107 are 80107. Prime factorization of 80107 in exponential form is:

80107 = 801071

Prime Factorization of 80118

Prime factors of 80118 are 2, 3, 4451. Prime factorization of 80118 in exponential form is:

80118 = 21 × 32 × 44511

Now multiplying the highest exponent prime factors to calculate the LCM of 80107 and 80118.

LCM(80107,80118) = 801071 × 21 × 32 × 44511
LCM(80107,80118) = 6418012626