What is the Least Common Multiple of 46045 and 46054?

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 46045 and 46054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46045 and 46054, than apply into the LCM equation.

GCF(46045,46054) = 1
LCM(46045,46054) = ( 46045 × 46054) / 1
LCM(46045,46054) = 2120556430 / 1
LCM(46045,46054) = 2120556430

Least Common Multiple (LCM) of 46045 and 46054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46045 and 46054. First we will calculate the prime factors of 46045 and 46054.

Prime Factorization of 46045

Prime Factorization of 46054

Now multiplying the highest exponent prime factors to calculate the LCM of 46045 and 46054.

LCM(46045,46054) = 5¹ × 9209¹ × 2¹ × 23027¹
LCM(46045,46054) = 2120556430