GCF and LCM Calculator Logo

What is the Least Common Multiple of 4370 and 4390?

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 4370 and 4390 is 1918430.

LCM(4370,4390) = 1918430

LCM Calculator and
and

Least Common Multiple of 4370 and 4390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4370 and 4390, than apply into the LCM equation.

GCF(4370,4390) = 10
LCM(4370,4390) = ( 4370 × 4390) / 10
LCM(4370,4390) = 19184300 / 10
LCM(4370,4390) = 1918430

Least Common Multiple (LCM) of 4370 and 4390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4370 and 4390. First we will calculate the prime factors of 4370 and 4390.

Prime Factorization of 4370

Prime factors of 4370 are 2, 5, 19, 23. Prime factorization of 4370 in exponential form is:

4370 = 21 × 51 × 191 × 231

Prime Factorization of 4390

Prime factors of 4390 are 2, 5, 439. Prime factorization of 4390 in exponential form is:

4390 = 21 × 51 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 4370 and 4390.

LCM(4370,4390) = 21 × 51 × 191 × 231 × 4391
LCM(4370,4390) = 1918430