What is the Least Common Multiple of 46072 and 46085?

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 46072 and 46085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46072 and 46085, than apply into the LCM equation.

GCF(46072,46085) = 13
LCM(46072,46085) = ( 46072 × 46085) / 13
LCM(46072,46085) = 2123228120 / 13
LCM(46072,46085) = 163325240

Least Common Multiple (LCM) of 46072 and 46085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46072 and 46085. First we will calculate the prime factors of 46072 and 46085.

Prime Factorization of 46072

Prime Factorization of 46085

Now multiplying the highest exponent prime factors to calculate the LCM of 46072 and 46085.

LCM(46072,46085) = 2³ × 13¹ × 443¹ × 5¹ × 709¹
LCM(46072,46085) = 163325240