What is the Least Common Multiple of 46592 and 46608?

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 46592 and 46608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46592 and 46608, than apply into the LCM equation.

GCF(46592,46608) = 16
LCM(46592,46608) = ( 46592 × 46608) / 16
LCM(46592,46608) = 2171559936 / 16
LCM(46592,46608) = 135722496

Least Common Multiple (LCM) of 46592 and 46608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46592 and 46608. First we will calculate the prime factors of 46592 and 46608.

Prime Factorization of 46592

Prime Factorization of 46608

Now multiplying the highest exponent prime factors to calculate the LCM of 46592 and 46608.

LCM(46592,46608) = 2⁹ × 7¹ × 13¹ × 3¹ × 971¹
LCM(46592,46608) = 135722496