What is the Least Common Multiple of 38085 and 38096?

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 38085 and 38096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38085 and 38096, than apply into the LCM equation.

GCF(38085,38096) = 1
LCM(38085,38096) = ( 38085 × 38096) / 1
LCM(38085,38096) = 1450886160 / 1
LCM(38085,38096) = 1450886160

Least Common Multiple (LCM) of 38085 and 38096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38085 and 38096. First we will calculate the prime factors of 38085 and 38096.

Prime Factorization of 38085

Prime Factorization of 38096

Now multiplying the highest exponent prime factors to calculate the LCM of 38085 and 38096.

LCM(38085,38096) = 3¹ × 5¹ × 2539¹ × 2⁴ × 2381¹
LCM(38085,38096) = 1450886160