What is the Least Common Multiple of 46115 and 46128?

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 46115 and 46128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46115 and 46128, than apply into the LCM equation.

GCF(46115,46128) = 1
LCM(46115,46128) = ( 46115 × 46128) / 1
LCM(46115,46128) = 2127192720 / 1
LCM(46115,46128) = 2127192720

Least Common Multiple (LCM) of 46115 and 46128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46115 and 46128. First we will calculate the prime factors of 46115 and 46128.

Prime Factorization of 46115

Prime Factorization of 46128

Now multiplying the highest exponent prime factors to calculate the LCM of 46115 and 46128.

LCM(46115,46128) = 5¹ × 23¹ × 401¹ × 2⁴ × 3¹ × 31²
LCM(46115,46128) = 2127192720