What is the Least Common Multiple of 38079 and 38097?

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 38079 and 38097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38079 and 38097, than apply into the LCM equation.

GCF(38079,38097) = 9
LCM(38079,38097) = ( 38079 × 38097) / 9
LCM(38079,38097) = 1450695663 / 9
LCM(38079,38097) = 161188407

Least Common Multiple (LCM) of 38079 and 38097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38079 and 38097. First we will calculate the prime factors of 38079 and 38097.

Prime Factorization of 38079

Prime Factorization of 38097

Now multiplying the highest exponent prime factors to calculate the LCM of 38079 and 38097.

LCM(38079,38097) = 3³ × 4231¹ × 17¹ × 83¹
LCM(38079,38097) = 161188407