What is the Least Common Multiple of 46545 and 46558?

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 46545 and 46558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46545 and 46558, than apply into the LCM equation.

GCF(46545,46558) = 1
LCM(46545,46558) = ( 46545 × 46558) / 1
LCM(46545,46558) = 2167042110 / 1
LCM(46545,46558) = 2167042110

Least Common Multiple (LCM) of 46545 and 46558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46545 and 46558. First we will calculate the prime factors of 46545 and 46558.

Prime Factorization of 46545

Prime Factorization of 46558

Now multiplying the highest exponent prime factors to calculate the LCM of 46545 and 46558.

LCM(46545,46558) = 3¹ × 5¹ × 29¹ × 107¹ × 2¹ × 23279¹
LCM(46545,46558) = 2167042110