What is the Least Common Multiple of 57238 and 57253?

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 57238 and 57253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57238 and 57253, than apply into the LCM equation.

GCF(57238,57253) = 1
LCM(57238,57253) = ( 57238 × 57253) / 1
LCM(57238,57253) = 3277047214 / 1
LCM(57238,57253) = 3277047214

Least Common Multiple (LCM) of 57238 and 57253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57238 and 57253. First we will calculate the prime factors of 57238 and 57253.

Prime Factorization of 57238

Prime Factorization of 57253

Now multiplying the highest exponent prime factors to calculate the LCM of 57238 and 57253.

LCM(57238,57253) = 2¹ × 28619¹ × 7¹ × 8179¹
LCM(57238,57253) = 3277047214