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What is the Least Common Multiple of 1381 and 1397?

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 1381 and 1397 is 1929257.

LCM(1381,1397) = 1929257

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Least Common Multiple of 1381 and 1397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1381 and 1397, than apply into the LCM equation.

GCF(1381,1397) = 1
LCM(1381,1397) = ( 1381 × 1397) / 1
LCM(1381,1397) = 1929257 / 1
LCM(1381,1397) = 1929257

Least Common Multiple (LCM) of 1381 and 1397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1381 and 1397. First we will calculate the prime factors of 1381 and 1397.

Prime Factorization of 1381

Prime factors of 1381 are 1381. Prime factorization of 1381 in exponential form is:

1381 = 13811

Prime Factorization of 1397

Prime factors of 1397 are 11, 127. Prime factorization of 1397 in exponential form is:

1397 = 111 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 1381 and 1397.

LCM(1381,1397) = 13811 × 111 × 1271
LCM(1381,1397) = 1929257