GCF and LCM Calculator Logo

What is the Least Common Multiple of 66410 and 66428?

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 66410 and 66428 is 2205741740.

LCM(66410,66428) = 2205741740

LCM Calculator and
and

Least Common Multiple of 66410 and 66428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66410 and 66428, than apply into the LCM equation.

GCF(66410,66428) = 2
LCM(66410,66428) = ( 66410 × 66428) / 2
LCM(66410,66428) = 4411483480 / 2
LCM(66410,66428) = 2205741740

Least Common Multiple (LCM) of 66410 and 66428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66410 and 66428. First we will calculate the prime factors of 66410 and 66428.

Prime Factorization of 66410

Prime factors of 66410 are 2, 5, 29, 229. Prime factorization of 66410 in exponential form is:

66410 = 21 × 51 × 291 × 2291

Prime Factorization of 66428

Prime factors of 66428 are 2, 16607. Prime factorization of 66428 in exponential form is:

66428 = 22 × 166071

Now multiplying the highest exponent prime factors to calculate the LCM of 66410 and 66428.

LCM(66410,66428) = 22 × 51 × 291 × 2291 × 166071
LCM(66410,66428) = 2205741740