GCF and LCM Calculator Logo

What is the Least Common Multiple of 66164 and 66175?

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 66164 and 66175 is 4378402700.

LCM(66164,66175) = 4378402700

LCM Calculator and
and

Least Common Multiple of 66164 and 66175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66164 and 66175, than apply into the LCM equation.

GCF(66164,66175) = 1
LCM(66164,66175) = ( 66164 × 66175) / 1
LCM(66164,66175) = 4378402700 / 1
LCM(66164,66175) = 4378402700

Least Common Multiple (LCM) of 66164 and 66175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66164 and 66175. First we will calculate the prime factors of 66164 and 66175.

Prime Factorization of 66164

Prime factors of 66164 are 2, 7, 17, 139. Prime factorization of 66164 in exponential form is:

66164 = 22 × 71 × 171 × 1391

Prime Factorization of 66175

Prime factors of 66175 are 5, 2647. Prime factorization of 66175 in exponential form is:

66175 = 52 × 26471

Now multiplying the highest exponent prime factors to calculate the LCM of 66164 and 66175.

LCM(66164,66175) = 22 × 71 × 171 × 1391 × 52 × 26471
LCM(66164,66175) = 4378402700