What is the Least Common Multiple of 46144 and 46158?

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 46144 and 46158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46144 and 46158, than apply into the LCM equation.

GCF(46144,46158) = 14
LCM(46144,46158) = ( 46144 × 46158) / 14
LCM(46144,46158) = 2129914752 / 14
LCM(46144,46158) = 152136768

Least Common Multiple (LCM) of 46144 and 46158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46144 and 46158. First we will calculate the prime factors of 46144 and 46158.

Prime Factorization of 46144

Prime Factorization of 46158

Now multiplying the highest exponent prime factors to calculate the LCM of 46144 and 46158.

LCM(46144,46158) = 2⁶ × 7² × 103¹ × 3¹ × 157¹
LCM(46144,46158) = 152136768