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Least Common Multiple of 1249 and 1264

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 1264 is 1578736.

LCM(1249,1264) = 1578736

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Least Common Multiple of 1249 and 1264 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 1264, than apply into the LCM equation.

GCF(1249,1264) = 1
LCM(1249,1264) = ( 1249 × 1264) / 1
LCM(1249,1264) = 1578736 / 1
LCM(1249,1264) = 1578736

Least Common Multiple (LCM) of 1249 and 1264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1249 and 1264. First we will calculate the prime factors of 1249 and 1264.

Prime Factorization of 1249

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

1249 = 12491

Prime Factorization of 1264

Prime factors of 1264 are 2, 79. Prime factorization of 1264 in exponential form is:

1264 = 24 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 1249 and 1264.

LCM(1249,1264) = 12491 × 24 × 791
LCM(1249,1264) = 1578736

Recent Comments
Guest 2020-04-18 02:02:27

Very easy

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