What is the Least Common Multiple of 46524 and 46536?

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 46524 and 46536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46524 and 46536, than apply into the LCM equation.

GCF(46524,46536) = 12
LCM(46524,46536) = ( 46524 × 46536) / 12
LCM(46524,46536) = 2165040864 / 12
LCM(46524,46536) = 180420072

Least Common Multiple (LCM) of 46524 and 46536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46524 and 46536. First we will calculate the prime factors of 46524 and 46536.

Prime Factorization of 46524

Prime Factorization of 46536

Now multiplying the highest exponent prime factors to calculate the LCM of 46524 and 46536.

LCM(46524,46536) = 2³ × 3¹ × 3877¹ × 7¹ × 277¹
LCM(46524,46536) = 180420072