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What is the Least Common Multiple of 80141 and 80152?

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 80141 and 80152 is 6423461432.

LCM(80141,80152) = 6423461432

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Least Common Multiple of 80141 and 80152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80141 and 80152, than apply into the LCM equation.

GCF(80141,80152) = 1
LCM(80141,80152) = ( 80141 × 80152) / 1
LCM(80141,80152) = 6423461432 / 1
LCM(80141,80152) = 6423461432

Least Common Multiple (LCM) of 80141 and 80152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80141 and 80152. First we will calculate the prime factors of 80141 and 80152.

Prime Factorization of 80141

Prime factors of 80141 are 80141. Prime factorization of 80141 in exponential form is:

80141 = 801411

Prime Factorization of 80152

Prime factors of 80152 are 2, 43, 233. Prime factorization of 80152 in exponential form is:

80152 = 23 × 431 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 80141 and 80152.

LCM(80141,80152) = 801411 × 23 × 431 × 2331
LCM(80141,80152) = 6423461432