What is the Least Common Multiple of 46350 and 46360?

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 46350 and 46360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46350 and 46360, than apply into the LCM equation.

GCF(46350,46360) = 10
LCM(46350,46360) = ( 46350 × 46360) / 10
LCM(46350,46360) = 2148786000 / 10
LCM(46350,46360) = 214878600

Least Common Multiple (LCM) of 46350 and 46360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46350 and 46360. First we will calculate the prime factors of 46350 and 46360.

Prime Factorization of 46350

Prime Factorization of 46360

Now multiplying the highest exponent prime factors to calculate the LCM of 46350 and 46360.

LCM(46350,46360) = 2³ × 3² × 5² × 103¹ × 19¹ × 61¹
LCM(46350,46360) = 214878600