What is the Least Common Multiple of 52238 and 52242?

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 52242 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 52242, than apply into the LCM equation.

GCF(52238,52242) = 2
LCM(52238,52242) = ( 52238 × 52242) / 2
LCM(52238,52242) = 2729017596 / 2
LCM(52238,52242) = 1364508798

Least Common Multiple (LCM) of 52238 and 52242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52238 and 52242. First we will calculate the prime factors of 52238 and 52242.

Prime Factorization of 52238

Prime Factorization of 52242

Now multiplying the highest exponent prime factors to calculate the LCM of 52238 and 52242.

LCM(52238,52242) = 2¹ × 26119¹ × 3¹ × 8707¹
LCM(52238,52242) = 1364508798