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What is the Least Common Multiple of 1315 and 1320?

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 1315 and 1320 is 347160.

LCM(1315,1320) = 347160

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Least Common Multiple of 1315 and 1320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1315 and 1320, than apply into the LCM equation.

GCF(1315,1320) = 5
LCM(1315,1320) = ( 1315 × 1320) / 5
LCM(1315,1320) = 1735800 / 5
LCM(1315,1320) = 347160

Least Common Multiple (LCM) of 1315 and 1320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1315 and 1320. First we will calculate the prime factors of 1315 and 1320.

Prime Factorization of 1315

Prime factors of 1315 are 5, 263. Prime factorization of 1315 in exponential form is:

1315 = 51 × 2631

Prime Factorization of 1320

Prime factors of 1320 are 2, 3, 5, 11. Prime factorization of 1320 in exponential form is:

1320 = 23 × 31 × 51 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 1315 and 1320.

LCM(1315,1320) = 51 × 2631 × 23 × 31 × 111
LCM(1315,1320) = 347160