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What is the Least Common Multiple of 1313 and 1330?

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 1313 and 1330 is 1746290.

LCM(1313,1330) = 1746290

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Least Common Multiple of 1313 and 1330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1313 and 1330, than apply into the LCM equation.

GCF(1313,1330) = 1
LCM(1313,1330) = ( 1313 × 1330) / 1
LCM(1313,1330) = 1746290 / 1
LCM(1313,1330) = 1746290

Least Common Multiple (LCM) of 1313 and 1330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1313 and 1330. First we will calculate the prime factors of 1313 and 1330.

Prime Factorization of 1313

Prime factors of 1313 are 13, 101. Prime factorization of 1313 in exponential form is:

1313 = 131 × 1011

Prime Factorization of 1330

Prime factors of 1330 are 2, 5, 7, 19. Prime factorization of 1330 in exponential form is:

1330 = 21 × 51 × 71 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 1313 and 1330.

LCM(1313,1330) = 131 × 1011 × 21 × 51 × 71 × 191
LCM(1313,1330) = 1746290