What is the Least Common Multiple of 46016 and 46035?

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 46016 and 46035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46016 and 46035, than apply into the LCM equation.

GCF(46016,46035) = 1
LCM(46016,46035) = ( 46016 × 46035) / 1
LCM(46016,46035) = 2118346560 / 1
LCM(46016,46035) = 2118346560

Least Common Multiple (LCM) of 46016 and 46035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46016 and 46035. First we will calculate the prime factors of 46016 and 46035.

Prime Factorization of 46016

Prime Factorization of 46035

Now multiplying the highest exponent prime factors to calculate the LCM of 46016 and 46035.

LCM(46016,46035) = 2⁶ × 719¹ × 3³ × 5¹ × 11¹ × 31¹
LCM(46016,46035) = 2118346560