What is the Least Common Multiple of 46144 and 46164?

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 46164 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 46164, than apply into the LCM equation.

GCF(46144,46164) = 4
LCM(46144,46164) = ( 46144 × 46164) / 4
LCM(46144,46164) = 2130191616 / 4
LCM(46144,46164) = 532547904

Least Common Multiple (LCM) of 46144 and 46164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46144 and 46164. First we will calculate the prime factors of 46144 and 46164.

Prime Factorization of 46144

Prime Factorization of 46164

Now multiplying the highest exponent prime factors to calculate the LCM of 46144 and 46164.

LCM(46144,46164) = 2⁶ × 7¹ × 103¹ × 3¹ × 3847¹
LCM(46144,46164) = 532547904