What is the Least Common Multiple of 46335 and 46347?

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 46347 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 46347, than apply into the LCM equation.

GCF(46335,46347) = 3
LCM(46335,46347) = ( 46335 × 46347) / 3
LCM(46335,46347) = 2147488245 / 3
LCM(46335,46347) = 715829415

Least Common Multiple (LCM) of 46335 and 46347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46335 and 46347. First we will calculate the prime factors of 46335 and 46347.

Prime Factorization of 46335

Prime Factorization of 46347

Now multiplying the highest exponent prime factors to calculate the LCM of 46335 and 46347.

LCM(46335,46347) = 3¹ × 5¹ × 3089¹ × 7¹ × 2207¹
LCM(46335,46347) = 715829415