What is the Least Common Multiple of 38209 and 38221?

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 38209 and 38221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38209 and 38221, than apply into the LCM equation.

GCF(38209,38221) = 1
LCM(38209,38221) = ( 38209 × 38221) / 1
LCM(38209,38221) = 1460386189 / 1
LCM(38209,38221) = 1460386189

Least Common Multiple (LCM) of 38209 and 38221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38209 and 38221. First we will calculate the prime factors of 38209 and 38221.

Prime Factorization of 38209

Prime Factorization of 38221

Now multiplying the highest exponent prime factors to calculate the LCM of 38209 and 38221.

LCM(38209,38221) = 19¹ × 2011¹ × 37¹ × 1033¹
LCM(38209,38221) = 1460386189