GCF and LCM Calculator Logo

What is the Least Common Multiple of 4368 and 4387?

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 4368 and 4387 is 19162416.

LCM(4368,4387) = 19162416

LCM Calculator and
and

Least Common Multiple of 4368 and 4387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4368 and 4387, than apply into the LCM equation.

GCF(4368,4387) = 1
LCM(4368,4387) = ( 4368 × 4387) / 1
LCM(4368,4387) = 19162416 / 1
LCM(4368,4387) = 19162416

Least Common Multiple (LCM) of 4368 and 4387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4368 and 4387. First we will calculate the prime factors of 4368 and 4387.

Prime Factorization of 4368

Prime factors of 4368 are 2, 3, 7, 13. Prime factorization of 4368 in exponential form is:

4368 = 24 × 31 × 71 × 131

Prime Factorization of 4387

Prime factors of 4387 are 41, 107. Prime factorization of 4387 in exponential form is:

4387 = 411 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 4368 and 4387.

LCM(4368,4387) = 24 × 31 × 71 × 131 × 411 × 1071
LCM(4368,4387) = 19162416