What is the Least Common Multiple of 46920 and 46933?

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 46920 and 46933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46920 and 46933, than apply into the LCM equation.

GCF(46920,46933) = 1
LCM(46920,46933) = ( 46920 × 46933) / 1
LCM(46920,46933) = 2202096360 / 1
LCM(46920,46933) = 2202096360

Least Common Multiple (LCM) of 46920 and 46933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46920 and 46933. First we will calculate the prime factors of 46920 and 46933.

Prime Factorization of 46920

Prime Factorization of 46933

Now multiplying the highest exponent prime factors to calculate the LCM of 46920 and 46933.

LCM(46920,46933) = 2³ × 3¹ × 5¹ × 17¹ × 23¹ × 46933¹
LCM(46920,46933) = 2202096360