What is the Least Common Multiple of 46575 and 46590?

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 46575 and 46590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46575 and 46590, than apply into the LCM equation.

GCF(46575,46590) = 15
LCM(46575,46590) = ( 46575 × 46590) / 15
LCM(46575,46590) = 2169929250 / 15
LCM(46575,46590) = 144661950

Least Common Multiple (LCM) of 46575 and 46590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46575 and 46590. First we will calculate the prime factors of 46575 and 46590.

Prime Factorization of 46575

Prime Factorization of 46590

Now multiplying the highest exponent prime factors to calculate the LCM of 46575 and 46590.

LCM(46575,46590) = 3⁴ × 5² × 23¹ × 2¹ × 1553¹
LCM(46575,46590) = 144661950