What is the Least Common Multiple of 46310 and 46322?

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 46310 and 46322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46310 and 46322, than apply into the LCM equation.

GCF(46310,46322) = 2
LCM(46310,46322) = ( 46310 × 46322) / 2
LCM(46310,46322) = 2145171820 / 2
LCM(46310,46322) = 1072585910

Least Common Multiple (LCM) of 46310 and 46322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46310 and 46322. First we will calculate the prime factors of 46310 and 46322.

Prime Factorization of 46310

Prime Factorization of 46322

Now multiplying the highest exponent prime factors to calculate the LCM of 46310 and 46322.

LCM(46310,46322) = 2¹ × 5¹ × 11¹ × 421¹ × 19¹ × 23¹ × 53¹
LCM(46310,46322) = 1072585910