What is the Least Common Multiple of 36352 and 36361?

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 36352 and 36361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36352 and 36361, than apply into the LCM equation.

GCF(36352,36361) = 1
LCM(36352,36361) = ( 36352 × 36361) / 1
LCM(36352,36361) = 1321795072 / 1
LCM(36352,36361) = 1321795072

Least Common Multiple (LCM) of 36352 and 36361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36352 and 36361. First we will calculate the prime factors of 36352 and 36361.

Prime Factorization of 36352

Prime Factorization of 36361

Now multiplying the highest exponent prime factors to calculate the LCM of 36352 and 36361.

LCM(36352,36361) = 2⁹ × 71¹ × 13¹ × 2797¹
LCM(36352,36361) = 1321795072