What is the Least Common Multiple of 46725 and 46740?

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 46725 and 46740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46725 and 46740, than apply into the LCM equation.

GCF(46725,46740) = 15
LCM(46725,46740) = ( 46725 × 46740) / 15
LCM(46725,46740) = 2183926500 / 15
LCM(46725,46740) = 145595100

Least Common Multiple (LCM) of 46725 and 46740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46725 and 46740. First we will calculate the prime factors of 46725 and 46740.

Prime Factorization of 46725

Prime Factorization of 46740

Now multiplying the highest exponent prime factors to calculate the LCM of 46725 and 46740.

LCM(46725,46740) = 3¹ × 5² × 7¹ × 89¹ × 2² × 19¹ × 41¹
LCM(46725,46740) = 145595100