What is the Least Common Multiple of 46953 and 46973?

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 46953 and 46973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46953 and 46973, than apply into the LCM equation.

GCF(46953,46973) = 1
LCM(46953,46973) = ( 46953 × 46973) / 1
LCM(46953,46973) = 2205523269 / 1
LCM(46953,46973) = 2205523269

Least Common Multiple (LCM) of 46953 and 46973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46953 and 46973. First we will calculate the prime factors of 46953 and 46973.

Prime Factorization of 46953

Prime Factorization of 46973

Now multiplying the highest exponent prime factors to calculate the LCM of 46953 and 46973.

LCM(46953,46973) = 3³ × 37¹ × 47¹ × 107¹ × 439¹
LCM(46953,46973) = 2205523269