What is the Least Common Multiple of 46325 and 46342?

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 46325 and 46342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46325 and 46342, than apply into the LCM equation.

GCF(46325,46342) = 17
LCM(46325,46342) = ( 46325 × 46342) / 17
LCM(46325,46342) = 2146793150 / 17
LCM(46325,46342) = 126281950

Least Common Multiple (LCM) of 46325 and 46342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46325 and 46342. First we will calculate the prime factors of 46325 and 46342.

Prime Factorization of 46325

Prime Factorization of 46342

Now multiplying the highest exponent prime factors to calculate the LCM of 46325 and 46342.

LCM(46325,46342) = 5² × 17¹ × 109¹ × 2¹ × 29¹ × 47¹
LCM(46325,46342) = 126281950