What is the Least Common Multiple of 46724 and 46744?

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 46724 and 46744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46724 and 46744, than apply into the LCM equation.

GCF(46724,46744) = 4
LCM(46724,46744) = ( 46724 × 46744) / 4
LCM(46724,46744) = 2184066656 / 4
LCM(46724,46744) = 546016664

Least Common Multiple (LCM) of 46724 and 46744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46724 and 46744. First we will calculate the prime factors of 46724 and 46744.

Prime Factorization of 46724

Prime Factorization of 46744

Now multiplying the highest exponent prime factors to calculate the LCM of 46724 and 46744.

LCM(46724,46744) = 2³ × 11681¹ × 5843¹
LCM(46724,46744) = 546016664