GCF and LCM Calculator Logo

What is the Least Common Multiple of 1377 and 1391?

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 1377 and 1391 is 1915407.

LCM(1377,1391) = 1915407

LCM Calculator and
and

Least Common Multiple of 1377 and 1391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1377 and 1391, than apply into the LCM equation.

GCF(1377,1391) = 1
LCM(1377,1391) = ( 1377 × 1391) / 1
LCM(1377,1391) = 1915407 / 1
LCM(1377,1391) = 1915407

Least Common Multiple (LCM) of 1377 and 1391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1377 and 1391. First we will calculate the prime factors of 1377 and 1391.

Prime Factorization of 1377

Prime factors of 1377 are 3, 17. Prime factorization of 1377 in exponential form is:

1377 = 34 × 171

Prime Factorization of 1391

Prime factors of 1391 are 13, 107. Prime factorization of 1391 in exponential form is:

1391 = 131 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 1377 and 1391.

LCM(1377,1391) = 34 × 171 × 131 × 1071
LCM(1377,1391) = 1915407