What is the Least Common Multiple of 52230 and 52238?

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 52230 and 52238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52230 and 52238, than apply into the LCM equation.

GCF(52230,52238) = 2
LCM(52230,52238) = ( 52230 × 52238) / 2
LCM(52230,52238) = 2728390740 / 2
LCM(52230,52238) = 1364195370

Least Common Multiple (LCM) of 52230 and 52238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52230 and 52238. First we will calculate the prime factors of 52230 and 52238.

Prime Factorization of 52230

Prime Factorization of 52238

Now multiplying the highest exponent prime factors to calculate the LCM of 52230 and 52238.

LCM(52230,52238) = 2¹ × 3¹ × 5¹ × 1741¹ × 26119¹
LCM(52230,52238) = 1364195370