What is the Least Common Multiple of 46180 and 46184?

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 46180 and 46184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46180 and 46184, than apply into the LCM equation.

GCF(46180,46184) = 4
LCM(46180,46184) = ( 46180 × 46184) / 4
LCM(46180,46184) = 2132777120 / 4
LCM(46180,46184) = 533194280

Least Common Multiple (LCM) of 46180 and 46184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46180 and 46184. First we will calculate the prime factors of 46180 and 46184.

Prime Factorization of 46180

Prime Factorization of 46184

Now multiplying the highest exponent prime factors to calculate the LCM of 46180 and 46184.

LCM(46180,46184) = 2³ × 5¹ × 2309¹ × 23¹ × 251¹
LCM(46180,46184) = 533194280