What is the Least Common Multiple of 46860 and 46876?

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 46860 and 46876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46860 and 46876, than apply into the LCM equation.

GCF(46860,46876) = 4
LCM(46860,46876) = ( 46860 × 46876) / 4
LCM(46860,46876) = 2196609360 / 4
LCM(46860,46876) = 549152340

Least Common Multiple (LCM) of 46860 and 46876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46860 and 46876. First we will calculate the prime factors of 46860 and 46876.

Prime Factorization of 46860

Prime Factorization of 46876

Now multiplying the highest exponent prime factors to calculate the LCM of 46860 and 46876.

LCM(46860,46876) = 2² × 3¹ × 5¹ × 11¹ × 71¹ × 11719¹
LCM(46860,46876) = 549152340