What is the Least Common Multiple of 53238 and 53257?

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 53238 and 53257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53238 and 53257, than apply into the LCM equation.

GCF(53238,53257) = 19
LCM(53238,53257) = ( 53238 × 53257) / 19
LCM(53238,53257) = 2835296166 / 19
LCM(53238,53257) = 149226114

Least Common Multiple (LCM) of 53238 and 53257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53238 and 53257. First we will calculate the prime factors of 53238 and 53257.

Prime Factorization of 53238

Prime Factorization of 53257

Now multiplying the highest exponent prime factors to calculate the LCM of 53238 and 53257.

LCM(53238,53257) = 2¹ × 3¹ × 19¹ × 467¹ × 2803¹
LCM(53238,53257) = 149226114