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What is the Least Common Multiple of 1240 and 1249?

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 1240 and 1249 is 1548760.

LCM(1240,1249) = 1548760

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Least Common Multiple of 1240 and 1249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1240 and 1249, than apply into the LCM equation.

GCF(1240,1249) = 1
LCM(1240,1249) = ( 1240 × 1249) / 1
LCM(1240,1249) = 1548760 / 1
LCM(1240,1249) = 1548760

Least Common Multiple (LCM) of 1240 and 1249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1240 and 1249. First we will calculate the prime factors of 1240 and 1249.

Prime Factorization of 1240

Prime factors of 1240 are 2, 5, 31. Prime factorization of 1240 in exponential form is:

1240 = 23 × 51 × 311

Prime Factorization of 1249

Prime factors of 1249 are 1249. Prime factorization of 1249 in exponential form is:

1249 = 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 1240 and 1249.

LCM(1240,1249) = 23 × 51 × 311 × 12491
LCM(1240,1249) = 1548760