What is the Least Common Multiple of 46725 and 46743?

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 46743 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 46743, than apply into the LCM equation.

GCF(46725,46743) = 3
LCM(46725,46743) = ( 46725 × 46743) / 3
LCM(46725,46743) = 2184066675 / 3
LCM(46725,46743) = 728022225

Least Common Multiple (LCM) of 46725 and 46743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46725 and 46743. First we will calculate the prime factors of 46725 and 46743.

Prime Factorization of 46725

Prime Factorization of 46743

Now multiplying the highest exponent prime factors to calculate the LCM of 46725 and 46743.

LCM(46725,46743) = 3¹ × 5² × 7¹ × 89¹ × 15581¹
LCM(46725,46743) = 728022225