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What is the Least Common Multiple of 1360 and 1373?

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 1360 and 1373 is 1867280.

LCM(1360,1373) = 1867280

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Least Common Multiple of 1360 and 1373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1360 and 1373, than apply into the LCM equation.

GCF(1360,1373) = 1
LCM(1360,1373) = ( 1360 × 1373) / 1
LCM(1360,1373) = 1867280 / 1
LCM(1360,1373) = 1867280

Least Common Multiple (LCM) of 1360 and 1373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1360 and 1373. First we will calculate the prime factors of 1360 and 1373.

Prime Factorization of 1360

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

1360 = 24 × 51 × 171

Prime Factorization of 1373

Prime factors of 1373 are 1373. Prime factorization of 1373 in exponential form is:

1373 = 13731

Now multiplying the highest exponent prime factors to calculate the LCM of 1360 and 1373.

LCM(1360,1373) = 24 × 51 × 171 × 13731
LCM(1360,1373) = 1867280