What is the Least Common Multiple of 30238 and 30256?

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 30238 and 30256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30238 and 30256, than apply into the LCM equation.

GCF(30238,30256) = 2
LCM(30238,30256) = ( 30238 × 30256) / 2
LCM(30238,30256) = 914880928 / 2
LCM(30238,30256) = 457440464

Least Common Multiple (LCM) of 30238 and 30256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30238 and 30256. First we will calculate the prime factors of 30238 and 30256.

Prime Factorization of 30238

Prime Factorization of 30256

Now multiplying the highest exponent prime factors to calculate the LCM of 30238 and 30256.

LCM(30238,30256) = 2⁴ × 13¹ × 1163¹ × 31¹ × 61¹
LCM(30238,30256) = 457440464