What is the Least Common Multiple of 46548 and 46567?

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 46548 and 46567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46548 and 46567, than apply into the LCM equation.

GCF(46548,46567) = 1
LCM(46548,46567) = ( 46548 × 46567) / 1
LCM(46548,46567) = 2167600716 / 1
LCM(46548,46567) = 2167600716

Least Common Multiple (LCM) of 46548 and 46567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46548 and 46567. First we will calculate the prime factors of 46548 and 46567.

Prime Factorization of 46548

Prime Factorization of 46567

Now multiplying the highest exponent prime factors to calculate the LCM of 46548 and 46567.

LCM(46548,46567) = 2² × 3³ × 431¹ × 46567¹
LCM(46548,46567) = 2167600716