What is the Least Common Multiple of 46345 and 46358?

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 46345 and 46358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46345 and 46358, than apply into the LCM equation.

GCF(46345,46358) = 13
LCM(46345,46358) = ( 46345 × 46358) / 13
LCM(46345,46358) = 2148461510 / 13
LCM(46345,46358) = 165266270

Least Common Multiple (LCM) of 46345 and 46358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46345 and 46358. First we will calculate the prime factors of 46345 and 46358.

Prime Factorization of 46345

Prime Factorization of 46358

Now multiplying the highest exponent prime factors to calculate the LCM of 46345 and 46358.

LCM(46345,46358) = 5¹ × 13¹ × 23¹ × 31¹ × 2¹ × 1783¹
LCM(46345,46358) = 165266270