GCF and LCM Calculator Logo

What is the Least Common Multiple of 3232 and 3242?

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 3232 and 3242 is 5239072.

LCM(3232,3242) = 5239072

LCM Calculator and
and

Least Common Multiple of 3232 and 3242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3232 and 3242, than apply into the LCM equation.

GCF(3232,3242) = 2
LCM(3232,3242) = ( 3232 × 3242) / 2
LCM(3232,3242) = 10478144 / 2
LCM(3232,3242) = 5239072

Least Common Multiple (LCM) of 3232 and 3242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3232 and 3242. First we will calculate the prime factors of 3232 and 3242.

Prime Factorization of 3232

Prime factors of 3232 are 2, 101. Prime factorization of 3232 in exponential form is:

3232 = 25 × 1011

Prime Factorization of 3242

Prime factors of 3242 are 2, 1621. Prime factorization of 3242 in exponential form is:

3242 = 21 × 16211

Now multiplying the highest exponent prime factors to calculate the LCM of 3232 and 3242.

LCM(3232,3242) = 25 × 1011 × 16211
LCM(3232,3242) = 5239072