What is the Least Common Multiple of 53226 and 53234?

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 53226 and 53234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53226 and 53234, than apply into the LCM equation.

GCF(53226,53234) = 2
LCM(53226,53234) = ( 53226 × 53234) / 2
LCM(53226,53234) = 2833432884 / 2
LCM(53226,53234) = 1416716442

Least Common Multiple (LCM) of 53226 and 53234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53226 and 53234. First we will calculate the prime factors of 53226 and 53234.

Prime Factorization of 53226

Prime Factorization of 53234

Now multiplying the highest exponent prime factors to calculate the LCM of 53226 and 53234.

LCM(53226,53234) = 2¹ × 3² × 2957¹ × 43¹ × 619¹
LCM(53226,53234) = 1416716442