What is the Least Common Multiple of 32902 and 32914?

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 32902 and 32914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32902 and 32914, than apply into the LCM equation.

GCF(32902,32914) = 2
LCM(32902,32914) = ( 32902 × 32914) / 2
LCM(32902,32914) = 1082936428 / 2
LCM(32902,32914) = 541468214

Least Common Multiple (LCM) of 32902 and 32914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32902 and 32914. First we will calculate the prime factors of 32902 and 32914.

Prime Factorization of 32902

Prime Factorization of 32914

Now multiplying the highest exponent prime factors to calculate the LCM of 32902 and 32914.

LCM(32902,32914) = 2¹ × 16451¹ × 7¹ × 2351¹
LCM(32902,32914) = 541468214