What is the Least Common Multiple of 46948 and 46953?

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 46948 and 46953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46948 and 46953, than apply into the LCM equation.

GCF(46948,46953) = 1
LCM(46948,46953) = ( 46948 × 46953) / 1
LCM(46948,46953) = 2204349444 / 1
LCM(46948,46953) = 2204349444

Least Common Multiple (LCM) of 46948 and 46953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46948 and 46953. First we will calculate the prime factors of 46948 and 46953.

Prime Factorization of 46948

Prime Factorization of 46953

Now multiplying the highest exponent prime factors to calculate the LCM of 46948 and 46953.

LCM(46948,46953) = 2² × 11² × 97¹ × 3³ × 37¹ × 47¹
LCM(46948,46953) = 2204349444