What is the Least Common Multiple of 46149 and 46153?

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 46149 and 46153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46149 and 46153, than apply into the LCM equation.

GCF(46149,46153) = 1
LCM(46149,46153) = ( 46149 × 46153) / 1
LCM(46149,46153) = 2129914797 / 1
LCM(46149,46153) = 2129914797

Least Common Multiple (LCM) of 46149 and 46153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46149 and 46153. First we will calculate the prime factors of 46149 and 46153.

Prime Factorization of 46149

Prime Factorization of 46153

Now multiplying the highest exponent prime factors to calculate the LCM of 46149 and 46153.

LCM(46149,46153) = 3¹ × 15383¹ × 46153¹
LCM(46149,46153) = 2129914797