What is the Least Common Multiple of 46347 and 46354?

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 46354 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 46354, than apply into the LCM equation.

GCF(46347,46354) = 7
LCM(46347,46354) = ( 46347 × 46354) / 7
LCM(46347,46354) = 2148368838 / 7
LCM(46347,46354) = 306909834

Least Common Multiple (LCM) of 46347 and 46354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46347 and 46354. First we will calculate the prime factors of 46347 and 46354.

Prime Factorization of 46347

Prime Factorization of 46354

Now multiplying the highest exponent prime factors to calculate the LCM of 46347 and 46354.

LCM(46347,46354) = 3¹ × 7² × 2207¹ × 2¹ × 11¹ × 43¹
LCM(46347,46354) = 306909834