GCF and LCM Calculator Logo

What is the Least Common Multiple of 19379 and 19387?

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 19379 and 19387 is 375700673.

LCM(19379,19387) = 375700673

LCM Calculator and
and

Least Common Multiple of 19379 and 19387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19379 and 19387, than apply into the LCM equation.

GCF(19379,19387) = 1
LCM(19379,19387) = ( 19379 × 19387) / 1
LCM(19379,19387) = 375700673 / 1
LCM(19379,19387) = 375700673

Least Common Multiple (LCM) of 19379 and 19387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19379 and 19387. First we will calculate the prime factors of 19379 and 19387.

Prime Factorization of 19379

Prime factors of 19379 are 19379. Prime factorization of 19379 in exponential form is:

19379 = 193791

Prime Factorization of 19387

Prime factors of 19387 are 19387. Prime factorization of 19387 in exponential form is:

19387 = 193871

Now multiplying the highest exponent prime factors to calculate the LCM of 19379 and 19387.

LCM(19379,19387) = 193791 × 193871
LCM(19379,19387) = 375700673