What is the Least Common Multiple of 38209 and 38216?

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 38216 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 38216, than apply into the LCM equation.

GCF(38209,38216) = 1
LCM(38209,38216) = ( 38209 × 38216) / 1
LCM(38209,38216) = 1460195144 / 1
LCM(38209,38216) = 1460195144

Least Common Multiple (LCM) of 38209 and 38216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38209 and 38216. First we will calculate the prime factors of 38209 and 38216.

Prime Factorization of 38209

Prime Factorization of 38216

Now multiplying the highest exponent prime factors to calculate the LCM of 38209 and 38216.

LCM(38209,38216) = 19¹ × 2011¹ × 2³ × 17¹ × 281¹
LCM(38209,38216) = 1460195144