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What is the Least Common Multiple of 13262 and 13279?

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 13262 and 13279 is 176106098.

LCM(13262,13279) = 176106098

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Least Common Multiple of 13262 and 13279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13262 and 13279, than apply into the LCM equation.

GCF(13262,13279) = 1
LCM(13262,13279) = ( 13262 × 13279) / 1
LCM(13262,13279) = 176106098 / 1
LCM(13262,13279) = 176106098

Least Common Multiple (LCM) of 13262 and 13279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13262 and 13279. First we will calculate the prime factors of 13262 and 13279.

Prime Factorization of 13262

Prime factors of 13262 are 2, 19, 349. Prime factorization of 13262 in exponential form is:

13262 = 21 × 191 × 3491

Prime Factorization of 13279

Prime factors of 13279 are 7, 271. Prime factorization of 13279 in exponential form is:

13279 = 72 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 13262 and 13279.

LCM(13262,13279) = 21 × 191 × 3491 × 72 × 2711
LCM(13262,13279) = 176106098