What is the Least Common Multiple of 46036 and 46042?

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 46036 and 46042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46036 and 46042, than apply into the LCM equation.

GCF(46036,46042) = 2
LCM(46036,46042) = ( 46036 × 46042) / 2
LCM(46036,46042) = 2119589512 / 2
LCM(46036,46042) = 1059794756

Least Common Multiple (LCM) of 46036 and 46042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46036 and 46042. First we will calculate the prime factors of 46036 and 46042.

Prime Factorization of 46036

Prime Factorization of 46042

Now multiplying the highest exponent prime factors to calculate the LCM of 46036 and 46042.

LCM(46036,46042) = 2² × 17¹ × 677¹ × 23021¹
LCM(46036,46042) = 1059794756