What is the Least Common Multiple of 46452 and 46466?

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 46452 and 46466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46452 and 46466, than apply into the LCM equation.

GCF(46452,46466) = 14
LCM(46452,46466) = ( 46452 × 46466) / 14
LCM(46452,46466) = 2158438632 / 14
LCM(46452,46466) = 154174188

Least Common Multiple (LCM) of 46452 and 46466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46452 and 46466. First we will calculate the prime factors of 46452 and 46466.

Prime Factorization of 46452

Prime Factorization of 46466

Now multiplying the highest exponent prime factors to calculate the LCM of 46452 and 46466.

LCM(46452,46466) = 2² × 3¹ × 7² × 79¹ × 3319¹
LCM(46452,46466) = 154174188