What is the Least Common Multiple of 46947 and 46965?

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 46947 and 46965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46947 and 46965, than apply into the LCM equation.

GCF(46947,46965) = 3
LCM(46947,46965) = ( 46947 × 46965) / 3
LCM(46947,46965) = 2204865855 / 3
LCM(46947,46965) = 734955285

Least Common Multiple (LCM) of 46947 and 46965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46947 and 46965. First we will calculate the prime factors of 46947 and 46965.

Prime Factorization of 46947

Prime Factorization of 46965

Now multiplying the highest exponent prime factors to calculate the LCM of 46947 and 46965.

LCM(46947,46965) = 3¹ × 15649¹ × 5¹ × 31¹ × 101¹
LCM(46947,46965) = 734955285