What is the Least Common Multiple of 56238 and 56248?

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 56238 and 56248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56238 and 56248, than apply into the LCM equation.

GCF(56238,56248) = 2
LCM(56238,56248) = ( 56238 × 56248) / 2
LCM(56238,56248) = 3163275024 / 2
LCM(56238,56248) = 1581637512

Least Common Multiple (LCM) of 56238 and 56248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56238 and 56248. First we will calculate the prime factors of 56238 and 56248.

Prime Factorization of 56238

Prime Factorization of 56248

Now multiplying the highest exponent prime factors to calculate the LCM of 56238 and 56248.

LCM(56238,56248) = 2³ × 3¹ × 7¹ × 13¹ × 103¹ × 79¹ × 89¹
LCM(56238,56248) = 1581637512