What is the Least Common Multiple of 38290 and 38304?

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 38290 and 38304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38290 and 38304, than apply into the LCM equation.

GCF(38290,38304) = 14
LCM(38290,38304) = ( 38290 × 38304) / 14
LCM(38290,38304) = 1466660160 / 14
LCM(38290,38304) = 104761440

Least Common Multiple (LCM) of 38290 and 38304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38290 and 38304. First we will calculate the prime factors of 38290 and 38304.

Prime Factorization of 38290

Prime Factorization of 38304

Now multiplying the highest exponent prime factors to calculate the LCM of 38290 and 38304.

LCM(38290,38304) = 2⁵ × 5¹ × 7¹ × 547¹ × 3² × 19¹
LCM(38290,38304) = 104761440