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What is the Least Common Multiple of 1241 and 1259?

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 1241 and 1259 is 1562419.

LCM(1241,1259) = 1562419

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Least Common Multiple of 1241 and 1259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1241 and 1259, than apply into the LCM equation.

GCF(1241,1259) = 1
LCM(1241,1259) = ( 1241 × 1259) / 1
LCM(1241,1259) = 1562419 / 1
LCM(1241,1259) = 1562419

Least Common Multiple (LCM) of 1241 and 1259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1241 and 1259. First we will calculate the prime factors of 1241 and 1259.

Prime Factorization of 1241

Prime factors of 1241 are 17, 73. Prime factorization of 1241 in exponential form is:

1241 = 171 × 731

Prime Factorization of 1259

Prime factors of 1259 are 1259. Prime factorization of 1259 in exponential form is:

1259 = 12591

Now multiplying the highest exponent prime factors to calculate the LCM of 1241 and 1259.

LCM(1241,1259) = 171 × 731 × 12591
LCM(1241,1259) = 1562419