What is the Least Common Multiple of 46921 and 46928?

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 46921 and 46928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46921 and 46928, than apply into the LCM equation.

GCF(46921,46928) = 7
LCM(46921,46928) = ( 46921 × 46928) / 7
LCM(46921,46928) = 2201908688 / 7
LCM(46921,46928) = 314558384

Least Common Multiple (LCM) of 46921 and 46928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46921 and 46928. First we will calculate the prime factors of 46921 and 46928.

Prime Factorization of 46921

Prime Factorization of 46928

Now multiplying the highest exponent prime factors to calculate the LCM of 46921 and 46928.

LCM(46921,46928) = 7¹ × 6703¹ × 2⁴ × 419¹
LCM(46921,46928) = 314558384