What is the Least Common Multiple of 43238 and 43253?

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 43238 and 43253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43238 and 43253, than apply into the LCM equation.

GCF(43238,43253) = 1
LCM(43238,43253) = ( 43238 × 43253) / 1
LCM(43238,43253) = 1870173214 / 1
LCM(43238,43253) = 1870173214

Least Common Multiple (LCM) of 43238 and 43253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43238 and 43253. First we will calculate the prime factors of 43238 and 43253.

Prime Factorization of 43238

Prime Factorization of 43253

Now multiplying the highest exponent prime factors to calculate the LCM of 43238 and 43253.

LCM(43238,43253) = 2¹ × 13¹ × 1663¹ × 7¹ × 37¹ × 167¹
LCM(43238,43253) = 1870173214