What is the Least Common Multiple of 52238 and 52254?

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 52238 and 52254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52238 and 52254, than apply into the LCM equation.

GCF(52238,52254) = 2
LCM(52238,52254) = ( 52238 × 52254) / 2
LCM(52238,52254) = 2729644452 / 2
LCM(52238,52254) = 1364822226

Least Common Multiple (LCM) of 52238 and 52254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52238 and 52254. First we will calculate the prime factors of 52238 and 52254.

Prime Factorization of 52238

Prime Factorization of 52254

Now multiplying the highest exponent prime factors to calculate the LCM of 52238 and 52254.

LCM(52238,52254) = 2¹ × 26119¹ × 3² × 2903¹
LCM(52238,52254) = 1364822226