What is the Least Common Multiple of 46965 and 46980?

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 46980 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 46980, than apply into the LCM equation.

GCF(46965,46980) = 15
LCM(46965,46980) = ( 46965 × 46980) / 15
LCM(46965,46980) = 2206415700 / 15
LCM(46965,46980) = 147094380

Least Common Multiple (LCM) of 46965 and 46980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46965 and 46980. First we will calculate the prime factors of 46965 and 46980.

Prime Factorization of 46965

Prime Factorization of 46980

Now multiplying the highest exponent prime factors to calculate the LCM of 46965 and 46980.

LCM(46965,46980) = 3⁴ × 5¹ × 31¹ × 101¹ × 2² × 29¹
LCM(46965,46980) = 147094380