What is the Least Common Multiple of 38213 and 38217?

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 38213 and 38217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38213 and 38217, than apply into the LCM equation.

GCF(38213,38217) = 1
LCM(38213,38217) = ( 38213 × 38217) / 1
LCM(38213,38217) = 1460386221 / 1
LCM(38213,38217) = 1460386221

Least Common Multiple (LCM) of 38213 and 38217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38213 and 38217. First we will calculate the prime factors of 38213 and 38217.

Prime Factorization of 38213

Prime Factorization of 38217

Now multiplying the highest exponent prime factors to calculate the LCM of 38213 and 38217.

LCM(38213,38217) = 7¹ × 53¹ × 103¹ × 3¹ × 12739¹
LCM(38213,38217) = 1460386221