What is the Least Common Multiple of 46935 and 46949?

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 46935 and 46949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46935 and 46949, than apply into the LCM equation.

GCF(46935,46949) = 7
LCM(46935,46949) = ( 46935 × 46949) / 7
LCM(46935,46949) = 2203551315 / 7
LCM(46935,46949) = 314793045

Least Common Multiple (LCM) of 46935 and 46949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46935 and 46949. First we will calculate the prime factors of 46935 and 46949.

Prime Factorization of 46935

Prime Factorization of 46949

Now multiplying the highest exponent prime factors to calculate the LCM of 46935 and 46949.

LCM(46935,46949) = 3² × 5¹ × 7¹ × 149¹ × 19¹ × 353¹
LCM(46935,46949) = 314793045