GCF and LCM Calculator Logo

What is the Least Common Multiple of 65236 and 65243?

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 65236 and 65243 is 4256192348.

LCM(65236,65243) = 4256192348

LCM Calculator and
and

Least Common Multiple of 65236 and 65243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65236 and 65243, than apply into the LCM equation.

GCF(65236,65243) = 1
LCM(65236,65243) = ( 65236 × 65243) / 1
LCM(65236,65243) = 4256192348 / 1
LCM(65236,65243) = 4256192348

Least Common Multiple (LCM) of 65236 and 65243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65236 and 65243. First we will calculate the prime factors of 65236 and 65243.

Prime Factorization of 65236

Prime factors of 65236 are 2, 47, 347. Prime factorization of 65236 in exponential form is:

65236 = 22 × 471 × 3471

Prime Factorization of 65243

Prime factors of 65243 are 53, 1231. Prime factorization of 65243 in exponential form is:

65243 = 531 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 65236 and 65243.

LCM(65236,65243) = 22 × 471 × 3471 × 531 × 12311
LCM(65236,65243) = 4256192348