What is the Least Common Multiple of 46752 and 46761?

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 46752 and 46761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46752 and 46761, than apply into the LCM equation.

GCF(46752,46761) = 3
LCM(46752,46761) = ( 46752 × 46761) / 3
LCM(46752,46761) = 2186170272 / 3
LCM(46752,46761) = 728723424

Least Common Multiple (LCM) of 46752 and 46761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46752 and 46761. First we will calculate the prime factors of 46752 and 46761.

Prime Factorization of 46752

Prime Factorization of 46761

Now multiplying the highest exponent prime factors to calculate the LCM of 46752 and 46761.

LCM(46752,46761) = 2⁵ × 3¹ × 487¹ × 11¹ × 13¹ × 109¹
LCM(46752,46761) = 728723424