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What is the Least Common Multiple of 13141 and 13159?

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 13141 and 13159 is 172922419.

LCM(13141,13159) = 172922419

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Least Common Multiple of 13141 and 13159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13141 and 13159, than apply into the LCM equation.

GCF(13141,13159) = 1
LCM(13141,13159) = ( 13141 × 13159) / 1
LCM(13141,13159) = 172922419 / 1
LCM(13141,13159) = 172922419

Least Common Multiple (LCM) of 13141 and 13159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13141 and 13159. First we will calculate the prime factors of 13141 and 13159.

Prime Factorization of 13141

Prime factors of 13141 are 17, 773. Prime factorization of 13141 in exponential form is:

13141 = 171 × 7731

Prime Factorization of 13159

Prime factors of 13159 are 13159. Prime factorization of 13159 in exponential form is:

13159 = 131591

Now multiplying the highest exponent prime factors to calculate the LCM of 13141 and 13159.

LCM(13141,13159) = 171 × 7731 × 131591
LCM(13141,13159) = 172922419