What is the Least Common Multiple of 46335 and 46341?

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 46341 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 46341, than apply into the LCM equation.

GCF(46335,46341) = 3
LCM(46335,46341) = ( 46335 × 46341) / 3
LCM(46335,46341) = 2147210235 / 3
LCM(46335,46341) = 715736745

Least Common Multiple (LCM) of 46335 and 46341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46335 and 46341. First we will calculate the prime factors of 46335 and 46341.

Prime Factorization of 46335

Prime Factorization of 46341

Now multiplying the highest exponent prime factors to calculate the LCM of 46335 and 46341.

LCM(46335,46341) = 3² × 5¹ × 3089¹ × 19¹ × 271¹
LCM(46335,46341) = 715736745