GCF and LCM Calculator Logo

What is the Least Common Multiple of 4369 and 4378?

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 4369 and 4378 is 19127482.

LCM(4369,4378) = 19127482

LCM Calculator and
and

Least Common Multiple of 4369 and 4378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4369 and 4378, than apply into the LCM equation.

GCF(4369,4378) = 1
LCM(4369,4378) = ( 4369 × 4378) / 1
LCM(4369,4378) = 19127482 / 1
LCM(4369,4378) = 19127482

Least Common Multiple (LCM) of 4369 and 4378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4369 and 4378. First we will calculate the prime factors of 4369 and 4378.

Prime Factorization of 4369

Prime factors of 4369 are 17, 257. Prime factorization of 4369 in exponential form is:

4369 = 171 × 2571

Prime Factorization of 4378

Prime factors of 4378 are 2, 11, 199. Prime factorization of 4378 in exponential form is:

4378 = 21 × 111 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 4369 and 4378.

LCM(4369,4378) = 171 × 2571 × 21 × 111 × 1991
LCM(4369,4378) = 19127482