What is the Least Common Multiple of 46872 and 46892?

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 46872 and 46892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46872 and 46892, than apply into the LCM equation.

GCF(46872,46892) = 4
LCM(46872,46892) = ( 46872 × 46892) / 4
LCM(46872,46892) = 2197921824 / 4
LCM(46872,46892) = 549480456

Least Common Multiple (LCM) of 46872 and 46892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46872 and 46892. First we will calculate the prime factors of 46872 and 46892.

Prime Factorization of 46872

Prime Factorization of 46892

Now multiplying the highest exponent prime factors to calculate the LCM of 46872 and 46892.

LCM(46872,46892) = 2³ × 3³ × 7¹ × 31¹ × 19¹ × 617¹
LCM(46872,46892) = 549480456