GCF and LCM Calculator Logo

What is the Least Common Multiple of 40161 and 40165?

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 40161 and 40165 is 1613066565.

LCM(40161,40165) = 1613066565

LCM Calculator and
and

Least Common Multiple of 40161 and 40165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40161 and 40165, than apply into the LCM equation.

GCF(40161,40165) = 1
LCM(40161,40165) = ( 40161 × 40165) / 1
LCM(40161,40165) = 1613066565 / 1
LCM(40161,40165) = 1613066565

Least Common Multiple (LCM) of 40161 and 40165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40161 and 40165. First we will calculate the prime factors of 40161 and 40165.

Prime Factorization of 40161

Prime factors of 40161 are 3, 11, 1217. Prime factorization of 40161 in exponential form is:

40161 = 31 × 111 × 12171

Prime Factorization of 40165

Prime factors of 40165 are 5, 29, 277. Prime factorization of 40165 in exponential form is:

40165 = 51 × 291 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 40161 and 40165.

LCM(40161,40165) = 31 × 111 × 12171 × 51 × 291 × 2771
LCM(40161,40165) = 1613066565