What is the Least Common Multiple of 46347 and 46361?

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 46347 and 46361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46347 and 46361, than apply into the LCM equation.

GCF(46347,46361) = 7
LCM(46347,46361) = ( 46347 × 46361) / 7
LCM(46347,46361) = 2148693267 / 7
LCM(46347,46361) = 306956181

Least Common Multiple (LCM) of 46347 and 46361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46347 and 46361. First we will calculate the prime factors of 46347 and 46361.

Prime Factorization of 46347

Prime Factorization of 46361

Now multiplying the highest exponent prime factors to calculate the LCM of 46347 and 46361.

LCM(46347,46361) = 3¹ × 7¹ × 2207¹ × 37¹ × 179¹
LCM(46347,46361) = 306956181