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Least Common Multiple of 1320 and 1329

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 1320 and 1329 is 584760.

LCM(1320,1329) = 584760

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Least Common Multiple of 1320 and 1329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1320 and 1329, than apply into the LCM equation.

GCF(1320,1329) = 3
LCM(1320,1329) = ( 1320 × 1329) / 3
LCM(1320,1329) = 1754280 / 3
LCM(1320,1329) = 584760

Least Common Multiple (LCM) of 1320 and 1329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1320 and 1329. First we will calculate the prime factors of 1320 and 1329.

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

Prime Factorization of 1329

Prime factors of 1329 are 3, 443. Prime factorization of 1329 in exponential form is:

1329 = 31 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 1320 and 1329.

LCM(1320,1329) = 23 × 31 × 51 × 111 × 4431
LCM(1320,1329) = 584760

Recent Comments
chidvilas 2020-04-29 04:16:48

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