What is the Least Common Multiple of 88238 and 88253?

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 88238 and 88253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88238 and 88253, than apply into the LCM equation.

GCF(88238,88253) = 1
LCM(88238,88253) = ( 88238 × 88253) / 1
LCM(88238,88253) = 7787268214 / 1
LCM(88238,88253) = 7787268214

Least Common Multiple (LCM) of 88238 and 88253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88238 and 88253. First we will calculate the prime factors of 88238 and 88253.

Prime Factorization of 88238

Prime Factorization of 88253

Now multiplying the highest exponent prime factors to calculate the LCM of 88238 and 88253.

LCM(88238,88253) = 2¹ × 44119¹ × 11¹ × 71¹ × 113¹
LCM(88238,88253) = 7787268214