What is the Least Common Multiple of 81347 and 81361?

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 81347 and 81361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81347 and 81361, than apply into the LCM equation.

GCF(81347,81361) = 7
LCM(81347,81361) = ( 81347 × 81361) / 7
LCM(81347,81361) = 6618473267 / 7
LCM(81347,81361) = 945496181

Least Common Multiple (LCM) of 81347 and 81361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81347 and 81361. First we will calculate the prime factors of 81347 and 81361.

Prime Factorization of 81347

Prime Factorization of 81361

Now multiplying the highest exponent prime factors to calculate the LCM of 81347 and 81361.

LCM(81347,81361) = 7¹ × 11621¹ × 59¹ × 197¹
LCM(81347,81361) = 945496181