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What is the Least Common Multiple of 80143 and 80150?

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 80150 is 917637350.

LCM(80143,80150) = 917637350

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Least Common Multiple of 80143 and 80150 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 80150, than apply into the LCM equation.

GCF(80143,80150) = 7
LCM(80143,80150) = ( 80143 × 80150) / 7
LCM(80143,80150) = 6423461450 / 7
LCM(80143,80150) = 917637350

Least Common Multiple (LCM) of 80143 and 80150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80143 and 80150. First we will calculate the prime factors of 80143 and 80150.

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 80150

Prime factors of 80150 are 2, 5, 7, 229. Prime factorization of 80150 in exponential form is:

80150 = 21 × 52 × 71 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 80143 and 80150.

LCM(80143,80150) = 71 × 1072 × 21 × 52 × 2291
LCM(80143,80150) = 917637350