What is the Least Common Multiple of 81 and 361?

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 81 and 361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81 and 361, than apply into the LCM equation.

GCF(81,361) = 1
LCM(81,361) = ( 81 × 361) / 1
LCM(81,361) = 29241 / 1
LCM(81,361) = 29241

Least Common Multiple (LCM) of 81 and 361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81 and 361. First we will calculate the prime factors of 81 and 361.

Prime Factorization of 81

Prime Factorization of 361

Now multiplying the highest exponent prime factors to calculate the LCM of 81 and 361.

LCM(81,361) = 3⁴ × 19²
LCM(81,361) = 29241