What is the Least Common Multiple of 32914 and 32918?

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 of 32914 and 32918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32914 and 32918, than apply into the LCM equation.

GCF(32914,32918) = 2
LCM(32914,32918) = ( 32914 × 32918) / 2
LCM(32914,32918) = 1083463052 / 2
LCM(32914,32918) = 541731526

Least Common Multiple (LCM) of 32914 and 32918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32914 and 32918. First we will calculate the prime factors of 32914 and 32918.

Prime Factorization of 32914

Prime Factorization of 32918

Now multiplying the highest exponent prime factors to calculate the LCM of 32914 and 32918.

LCM(32914,32918) = 2¹ × 7¹ × 2351¹ × 109¹ × 151¹
LCM(32914,32918) = 541731526