What is the Least Common Multiple of 38288 and 38302?

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 38288 and 38302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38288 and 38302, than apply into the LCM equation.

GCF(38288,38302) = 2
LCM(38288,38302) = ( 38288 × 38302) / 2
LCM(38288,38302) = 1466506976 / 2
LCM(38288,38302) = 733253488

Least Common Multiple (LCM) of 38288 and 38302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38288 and 38302. First we will calculate the prime factors of 38288 and 38302.

Prime Factorization of 38288

Prime Factorization of 38302

Now multiplying the highest exponent prime factors to calculate the LCM of 38288 and 38302.

LCM(38288,38302) = 2⁴ × 2393¹ × 11¹ × 1741¹
LCM(38288,38302) = 733253488