What is the Least Common Multiple of 38199 and 38207?

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 38199 and 38207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38199 and 38207, than apply into the LCM equation.

GCF(38199,38207) = 1
LCM(38199,38207) = ( 38199 × 38207) / 1
LCM(38199,38207) = 1459469193 / 1
LCM(38199,38207) = 1459469193

Least Common Multiple (LCM) of 38199 and 38207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38199 and 38207. First we will calculate the prime factors of 38199 and 38207.

Prime Factorization of 38199

Prime Factorization of 38207

Now multiplying the highest exponent prime factors to calculate the LCM of 38199 and 38207.

LCM(38199,38207) = 3¹ × 7¹ × 17¹ × 107¹ × 13¹ × 2939¹
LCM(38199,38207) = 1459469193