What is the Least Common Multiple of 46551 and 46569?

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 46551 and 46569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46551 and 46569, than apply into the LCM equation.

GCF(46551,46569) = 3
LCM(46551,46569) = ( 46551 × 46569) / 3
LCM(46551,46569) = 2167833519 / 3
LCM(46551,46569) = 722611173

Least Common Multiple (LCM) of 46551 and 46569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46551 and 46569. First we will calculate the prime factors of 46551 and 46569.

Prime Factorization of 46551

Prime Factorization of 46569

Now multiplying the highest exponent prime factors to calculate the LCM of 46551 and 46569.

LCM(46551,46569) = 3¹ × 59¹ × 263¹ × 19² × 43¹
LCM(46551,46569) = 722611173