What is the Least Common Multiple of 38278 and 38290?

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 38278 and 38290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38278 and 38290, than apply into the LCM equation.

GCF(38278,38290) = 2
LCM(38278,38290) = ( 38278 × 38290) / 2
LCM(38278,38290) = 1465664620 / 2
LCM(38278,38290) = 732832310

Least Common Multiple (LCM) of 38278 and 38290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38278 and 38290. First we will calculate the prime factors of 38278 and 38290.

Prime Factorization of 38278

Prime Factorization of 38290

Now multiplying the highest exponent prime factors to calculate the LCM of 38278 and 38290.

LCM(38278,38290) = 2¹ × 19139¹ × 5¹ × 7¹ × 547¹
LCM(38278,38290) = 732832310