GCF and LCM Calculator Logo

What is the Least Common Multiple of 66654 and 66662?

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 66654 and 66662 is 2221644474.

LCM(66654,66662) = 2221644474

LCM Calculator and
and

Least Common Multiple of 66654 and 66662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66654 and 66662, than apply into the LCM equation.

GCF(66654,66662) = 2
LCM(66654,66662) = ( 66654 × 66662) / 2
LCM(66654,66662) = 4443288948 / 2
LCM(66654,66662) = 2221644474

Least Common Multiple (LCM) of 66654 and 66662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66654 and 66662. First we will calculate the prime factors of 66654 and 66662.

Prime Factorization of 66654

Prime factors of 66654 are 2, 3, 7, 23. Prime factorization of 66654 in exponential form is:

66654 = 21 × 32 × 71 × 232

Prime Factorization of 66662

Prime factors of 66662 are 2, 33331. Prime factorization of 66662 in exponential form is:

66662 = 21 × 333311

Now multiplying the highest exponent prime factors to calculate the LCM of 66654 and 66662.

LCM(66654,66662) = 21 × 32 × 71 × 232 × 333311
LCM(66654,66662) = 2221644474