What is the Least Common Multiple of 46959 and 46972?

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 46959 and 46972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46959 and 46972, than apply into the LCM equation.

GCF(46959,46972) = 1
LCM(46959,46972) = ( 46959 × 46972) / 1
LCM(46959,46972) = 2205758148 / 1
LCM(46959,46972) = 2205758148

Least Common Multiple (LCM) of 46959 and 46972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46959 and 46972. First we will calculate the prime factors of 46959 and 46972.

Prime Factorization of 46959

Prime Factorization of 46972

Now multiplying the highest exponent prime factors to calculate the LCM of 46959 and 46972.

LCM(46959,46972) = 3¹ × 11¹ × 1423¹ × 2² × 11743¹
LCM(46959,46972) = 2205758148