What is the Least Common Multiple of 46286 and 46290?

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 46286 and 46290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46286 and 46290, than apply into the LCM equation.

GCF(46286,46290) = 2
LCM(46286,46290) = ( 46286 × 46290) / 2
LCM(46286,46290) = 2142578940 / 2
LCM(46286,46290) = 1071289470

Least Common Multiple (LCM) of 46286 and 46290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46286 and 46290. First we will calculate the prime factors of 46286 and 46290.

Prime Factorization of 46286

Prime Factorization of 46290

Now multiplying the highest exponent prime factors to calculate the LCM of 46286 and 46290.

LCM(46286,46290) = 2¹ × 23143¹ × 3¹ × 5¹ × 1543¹
LCM(46286,46290) = 1071289470