What is the Least Common Multiple of 56238 and 56253?

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 56253 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 56253, than apply into the LCM equation.

GCF(56238,56253) = 3
LCM(56238,56253) = ( 56238 × 56253) / 3
LCM(56238,56253) = 3163556214 / 3
LCM(56238,56253) = 1054518738

Least Common Multiple (LCM) of 56238 and 56253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56238 and 56253. First we will calculate the prime factors of 56238 and 56253.

Prime Factorization of 56238

Prime Factorization of 56253

Now multiplying the highest exponent prime factors to calculate the LCM of 56238 and 56253.

LCM(56238,56253) = 2¹ × 3¹ × 7¹ × 13¹ × 103¹ × 17¹ × 1103¹
LCM(56238,56253) = 1054518738