GCF and LCM Calculator Logo

What is the Least Common Multiple of 32243 and 32262?

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 32243 and 32262 is 54748614.

LCM(32243,32262) = 54748614

LCM Calculator and
and

Least Common Multiple of 32243 and 32262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32243 and 32262, than apply into the LCM equation.

GCF(32243,32262) = 19
LCM(32243,32262) = ( 32243 × 32262) / 19
LCM(32243,32262) = 1040223666 / 19
LCM(32243,32262) = 54748614

Least Common Multiple (LCM) of 32243 and 32262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32243 and 32262. First we will calculate the prime factors of 32243 and 32262.

Prime Factorization of 32243

Prime factors of 32243 are 19, 1697. Prime factorization of 32243 in exponential form is:

32243 = 191 × 16971

Prime Factorization of 32262

Prime factors of 32262 are 2, 3, 19, 283. Prime factorization of 32262 in exponential form is:

32262 = 21 × 31 × 191 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 32243 and 32262.

LCM(32243,32262) = 191 × 16971 × 21 × 31 × 2831
LCM(32243,32262) = 54748614