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What is the Least Common Multiple of 80143 and 80155?

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 80143 and 80155 is 6423862165.

LCM(80143,80155) = 6423862165

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Least Common Multiple of 80143 and 80155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80143 and 80155, than apply into the LCM equation.

GCF(80143,80155) = 1
LCM(80143,80155) = ( 80143 × 80155) / 1
LCM(80143,80155) = 6423862165 / 1
LCM(80143,80155) = 6423862165

Least Common Multiple (LCM) of 80143 and 80155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80143 and 80155. First we will calculate the prime factors of 80143 and 80155.

Prime Factorization of 80143

Prime factors of 80143 are 7, 107. Prime factorization of 80143 in exponential form is:

80143 = 71 × 1072

Prime Factorization of 80155

Prime factors of 80155 are 5, 17, 23, 41. Prime factorization of 80155 in exponential form is:

80155 = 51 × 171 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 80143 and 80155.

LCM(80143,80155) = 71 × 1072 × 51 × 171 × 231 × 411
LCM(80143,80155) = 6423862165