What is the Least Common Multiple of 46633 and 46640?

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 46633 and 46640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46633 and 46640, than apply into the LCM equation.

GCF(46633,46640) = 1
LCM(46633,46640) = ( 46633 × 46640) / 1
LCM(46633,46640) = 2174963120 / 1
LCM(46633,46640) = 2174963120

Least Common Multiple (LCM) of 46633 and 46640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46633 and 46640. First we will calculate the prime factors of 46633 and 46640.

Prime Factorization of 46633

Prime Factorization of 46640

Now multiplying the highest exponent prime factors to calculate the LCM of 46633 and 46640.

LCM(46633,46640) = 46633¹ × 2⁴ × 5¹ × 11¹ × 53¹
LCM(46633,46640) = 2174963120