What is the Least Common Multiple of 46965 and 46971?

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 46965 and 46971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46965 and 46971, than apply into the LCM equation.

GCF(46965,46971) = 3
LCM(46965,46971) = ( 46965 × 46971) / 3
LCM(46965,46971) = 2205993015 / 3
LCM(46965,46971) = 735331005

Least Common Multiple (LCM) of 46965 and 46971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46965 and 46971. First we will calculate the prime factors of 46965 and 46971.

Prime Factorization of 46965

Prime Factorization of 46971

Now multiplying the highest exponent prime factors to calculate the LCM of 46965 and 46971.

LCM(46965,46971) = 3² × 5¹ × 31¹ × 101¹ × 17¹ × 307¹
LCM(46965,46971) = 735331005