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What is the Least Common Multiple of 12975 and 12991?

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 12975 and 12991 is 168558225.

LCM(12975,12991) = 168558225

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Least Common Multiple of 12975 and 12991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12975 and 12991, than apply into the LCM equation.

GCF(12975,12991) = 1
LCM(12975,12991) = ( 12975 × 12991) / 1
LCM(12975,12991) = 168558225 / 1
LCM(12975,12991) = 168558225

Least Common Multiple (LCM) of 12975 and 12991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12975 and 12991. First we will calculate the prime factors of 12975 and 12991.

Prime Factorization of 12975

Prime factors of 12975 are 3, 5, 173. Prime factorization of 12975 in exponential form is:

12975 = 31 × 52 × 1731

Prime Factorization of 12991

Prime factors of 12991 are 11, 1181. Prime factorization of 12991 in exponential form is:

12991 = 111 × 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 12975 and 12991.

LCM(12975,12991) = 31 × 52 × 1731 × 111 × 11811
LCM(12975,12991) = 168558225