What is the Least Common Multiple of 46008 and 46020?

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 46008 and 46020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46008 and 46020, than apply into the LCM equation.

GCF(46008,46020) = 12
LCM(46008,46020) = ( 46008 × 46020) / 12
LCM(46008,46020) = 2117288160 / 12
LCM(46008,46020) = 176440680

Least Common Multiple (LCM) of 46008 and 46020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46008 and 46020. First we will calculate the prime factors of 46008 and 46020.

Prime Factorization of 46008

Prime Factorization of 46020

Now multiplying the highest exponent prime factors to calculate the LCM of 46008 and 46020.

LCM(46008,46020) = 2³ × 3⁴ × 71¹ × 5¹ × 13¹ × 59¹
LCM(46008,46020) = 176440680