What is the Least Common Multiple of 46335 and 46340?

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 46335 and 46340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46335 and 46340, than apply into the LCM equation.

GCF(46335,46340) = 5
LCM(46335,46340) = ( 46335 × 46340) / 5
LCM(46335,46340) = 2147163900 / 5
LCM(46335,46340) = 429432780

Least Common Multiple (LCM) of 46335 and 46340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46335 and 46340. First we will calculate the prime factors of 46335 and 46340.

Prime Factorization of 46335

Prime Factorization of 46340

Now multiplying the highest exponent prime factors to calculate the LCM of 46335 and 46340.

LCM(46335,46340) = 3¹ × 5¹ × 3089¹ × 2² × 7¹ × 331¹
LCM(46335,46340) = 429432780