What is the Least Common Multiple of 46903 and 46920?

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 46903 and 46920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46903 and 46920, than apply into the LCM equation.

GCF(46903,46920) = 17
LCM(46903,46920) = ( 46903 × 46920) / 17
LCM(46903,46920) = 2200688760 / 17
LCM(46903,46920) = 129452280

Least Common Multiple (LCM) of 46903 and 46920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46903 and 46920. First we will calculate the prime factors of 46903 and 46920.

Prime Factorization of 46903

Prime Factorization of 46920

Now multiplying the highest exponent prime factors to calculate the LCM of 46903 and 46920.

LCM(46903,46920) = 17¹ × 31¹ × 89¹ × 2³ × 3¹ × 5¹ × 23¹
LCM(46903,46920) = 129452280