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What is the Least Common Multiple of 1341 and 1360?

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 1341 and 1360 is 1823760.

LCM(1341,1360) = 1823760

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Least Common Multiple of 1341 and 1360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1341 and 1360, than apply into the LCM equation.

GCF(1341,1360) = 1
LCM(1341,1360) = ( 1341 × 1360) / 1
LCM(1341,1360) = 1823760 / 1
LCM(1341,1360) = 1823760

Least Common Multiple (LCM) of 1341 and 1360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1341 and 1360. First we will calculate the prime factors of 1341 and 1360.

Prime Factorization of 1341

Prime factors of 1341 are 3, 149. Prime factorization of 1341 in exponential form is:

1341 = 32 × 1491

Prime Factorization of 1360

Prime factors of 1360 are 2, 5, 17. Prime factorization of 1360 in exponential form is:

1360 = 24 × 51 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 1341 and 1360.

LCM(1341,1360) = 32 × 1491 × 24 × 51 × 171
LCM(1341,1360) = 1823760