What is the Least Common Multiple of 38465 and 38481?

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 38465 and 38481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38465 and 38481, than apply into the LCM equation.

GCF(38465,38481) = 1
LCM(38465,38481) = ( 38465 × 38481) / 1
LCM(38465,38481) = 1480171665 / 1
LCM(38465,38481) = 1480171665

Least Common Multiple (LCM) of 38465 and 38481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38465 and 38481. First we will calculate the prime factors of 38465 and 38481.

Prime Factorization of 38465

Prime Factorization of 38481

Now multiplying the highest exponent prime factors to calculate the LCM of 38465 and 38481.

LCM(38465,38481) = 5¹ × 7² × 157¹ × 3¹ × 101¹ × 127¹
LCM(38465,38481) = 1480171665