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What is the Least Common Multiple of 1297 and 1301?

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 1297 and 1301 is 1687397.

LCM(1297,1301) = 1687397

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Least Common Multiple of 1297 and 1301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1297 and 1301, than apply into the LCM equation.

GCF(1297,1301) = 1
LCM(1297,1301) = ( 1297 × 1301) / 1
LCM(1297,1301) = 1687397 / 1
LCM(1297,1301) = 1687397

Least Common Multiple (LCM) of 1297 and 1301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1297 and 1301. First we will calculate the prime factors of 1297 and 1301.

Prime Factorization of 1297

Prime factors of 1297 are 1297. Prime factorization of 1297 in exponential form is:

1297 = 12971

Prime Factorization of 1301

Prime factors of 1301 are 1301. Prime factorization of 1301 in exponential form is:

1301 = 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 1297 and 1301.

LCM(1297,1301) = 12971 × 13011
LCM(1297,1301) = 1687397