What is the Least Common Multiple of 46928 and 46941?

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 46928 and 46941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46928 and 46941, than apply into the LCM equation.

GCF(46928,46941) = 1
LCM(46928,46941) = ( 46928 × 46941) / 1
LCM(46928,46941) = 2202847248 / 1
LCM(46928,46941) = 2202847248

Least Common Multiple (LCM) of 46928 and 46941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46928 and 46941. First we will calculate the prime factors of 46928 and 46941.

Prime Factorization of 46928

Prime Factorization of 46941

Now multiplying the highest exponent prime factors to calculate the LCM of 46928 and 46941.

LCM(46928,46941) = 2⁴ × 7¹ × 419¹ × 3¹ × 15647¹
LCM(46928,46941) = 2202847248