GCF and LCM Calculator Logo

What is the Least Common Multiple of 4410 and 4414?

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 4410 and 4414 is 9732870.

LCM(4410,4414) = 9732870

LCM Calculator and
and

Least Common Multiple of 4410 and 4414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4410 and 4414, than apply into the LCM equation.

GCF(4410,4414) = 2
LCM(4410,4414) = ( 4410 × 4414) / 2
LCM(4410,4414) = 19465740 / 2
LCM(4410,4414) = 9732870

Least Common Multiple (LCM) of 4410 and 4414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4410 and 4414. First we will calculate the prime factors of 4410 and 4414.

Prime Factorization of 4410

Prime factors of 4410 are 2, 3, 5, 7. Prime factorization of 4410 in exponential form is:

4410 = 21 × 32 × 51 × 72

Prime Factorization of 4414

Prime factors of 4414 are 2, 2207. Prime factorization of 4414 in exponential form is:

4414 = 21 × 22071

Now multiplying the highest exponent prime factors to calculate the LCM of 4410 and 4414.

LCM(4410,4414) = 21 × 32 × 51 × 72 × 22071
LCM(4410,4414) = 9732870