What is the Least Common Multiple of 46735 and 46750?

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 46735 and 46750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46735 and 46750, than apply into the LCM equation.

GCF(46735,46750) = 5
LCM(46735,46750) = ( 46735 × 46750) / 5
LCM(46735,46750) = 2184861250 / 5
LCM(46735,46750) = 436972250

Least Common Multiple (LCM) of 46735 and 46750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46735 and 46750. First we will calculate the prime factors of 46735 and 46750.

Prime Factorization of 46735

Prime Factorization of 46750

Now multiplying the highest exponent prime factors to calculate the LCM of 46735 and 46750.

LCM(46735,46750) = 5³ × 13¹ × 719¹ × 2¹ × 11¹ × 17¹
LCM(46735,46750) = 436972250