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What is the Least Common Multiple of 80152 and 80169?

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 80152 and 80169 is 6425705688.

LCM(80152,80169) = 6425705688

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Least Common Multiple of 80152 and 80169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80152 and 80169, than apply into the LCM equation.

GCF(80152,80169) = 1
LCM(80152,80169) = ( 80152 × 80169) / 1
LCM(80152,80169) = 6425705688 / 1
LCM(80152,80169) = 6425705688

Least Common Multiple (LCM) of 80152 and 80169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80152 and 80169. First we will calculate the prime factors of 80152 and 80169.

Prime Factorization of 80152

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

80152 = 23 × 431 × 2331

Prime Factorization of 80169

Prime factors of 80169 are 3, 26723. Prime factorization of 80169 in exponential form is:

80169 = 31 × 267231

Now multiplying the highest exponent prime factors to calculate the LCM of 80152 and 80169.

LCM(80152,80169) = 23 × 431 × 2331 × 31 × 267231
LCM(80152,80169) = 6425705688