GCF and LCM Calculator Logo

What is the Least Common Multiple of 27162 and 27174?

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 27162 and 27174 is 123016698.

LCM(27162,27174) = 123016698

LCM Calculator and
and

Least Common Multiple of 27162 and 27174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27162 and 27174, than apply into the LCM equation.

GCF(27162,27174) = 6
LCM(27162,27174) = ( 27162 × 27174) / 6
LCM(27162,27174) = 738100188 / 6
LCM(27162,27174) = 123016698

Least Common Multiple (LCM) of 27162 and 27174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27162 and 27174. First we will calculate the prime factors of 27162 and 27174.

Prime Factorization of 27162

Prime factors of 27162 are 2, 3, 503. Prime factorization of 27162 in exponential form is:

27162 = 21 × 33 × 5031

Prime Factorization of 27174

Prime factors of 27174 are 2, 3, 7, 647. Prime factorization of 27174 in exponential form is:

27174 = 21 × 31 × 71 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 27162 and 27174.

LCM(27162,27174) = 21 × 33 × 5031 × 71 × 6471
LCM(27162,27174) = 123016698