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What is the Least Common Multiple of 1241 and 1248?

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 1248 is 1548768.

LCM(1241,1248) = 1548768

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Least Common Multiple of 1241 and 1248 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 1248, than apply into the LCM equation.

GCF(1241,1248) = 1
LCM(1241,1248) = ( 1241 × 1248) / 1
LCM(1241,1248) = 1548768 / 1
LCM(1241,1248) = 1548768

Least Common Multiple (LCM) of 1241 and 1248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1241 and 1248. First we will calculate the prime factors of 1241 and 1248.

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 1248

Prime factors of 1248 are 2, 3, 13. Prime factorization of 1248 in exponential form is:

1248 = 25 × 31 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 1241 and 1248.

LCM(1241,1248) = 171 × 731 × 25 × 31 × 131
LCM(1241,1248) = 1548768