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What is the Least Common Multiple of 1249 and 1266?

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 1249 and 1266 is 1581234.

LCM(1249,1266) = 1581234

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Least Common Multiple of 1249 and 1266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1249 and 1266, than apply into the LCM equation.

GCF(1249,1266) = 1
LCM(1249,1266) = ( 1249 × 1266) / 1
LCM(1249,1266) = 1581234 / 1
LCM(1249,1266) = 1581234

Least Common Multiple (LCM) of 1249 and 1266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1249 and 1266. First we will calculate the prime factors of 1249 and 1266.

Prime Factorization of 1249

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

1249 = 12491

Prime Factorization of 1266

Prime factors of 1266 are 2, 3, 211. Prime factorization of 1266 in exponential form is:

1266 = 21 × 31 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 1249 and 1266.

LCM(1249,1266) = 12491 × 21 × 31 × 2111
LCM(1249,1266) = 1581234