What is the Least Common Multiple of 23238 and 23246?

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 23238 and 23246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23238 and 23246, than apply into the LCM equation.

GCF(23238,23246) = 2
LCM(23238,23246) = ( 23238 × 23246) / 2
LCM(23238,23246) = 540190548 / 2
LCM(23238,23246) = 270095274

Least Common Multiple (LCM) of 23238 and 23246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23238 and 23246. First we will calculate the prime factors of 23238 and 23246.

Prime Factorization of 23238

Prime Factorization of 23246

Now multiplying the highest exponent prime factors to calculate the LCM of 23238 and 23246.

LCM(23238,23246) = 2¹ × 3² × 1291¹ × 59¹ × 197¹
LCM(23238,23246) = 270095274