What is the Least Common Multiple of 38065 and 38071?

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 38065 and 38071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38065 and 38071, than apply into the LCM equation.

GCF(38065,38071) = 1
LCM(38065,38071) = ( 38065 × 38071) / 1
LCM(38065,38071) = 1449172615 / 1
LCM(38065,38071) = 1449172615

Least Common Multiple (LCM) of 38065 and 38071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38065 and 38071. First we will calculate the prime factors of 38065 and 38071.

Prime Factorization of 38065

Prime Factorization of 38071

Now multiplying the highest exponent prime factors to calculate the LCM of 38065 and 38071.

LCM(38065,38071) = 5¹ × 23¹ × 331¹ × 11¹ × 3461¹
LCM(38065,38071) = 1449172615