What is the Least Common Multiple of 46050 and 46065?

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 46050 and 46065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46050 and 46065, than apply into the LCM equation.

GCF(46050,46065) = 15
LCM(46050,46065) = ( 46050 × 46065) / 15
LCM(46050,46065) = 2121293250 / 15
LCM(46050,46065) = 141419550

Least Common Multiple (LCM) of 46050 and 46065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46050 and 46065. First we will calculate the prime factors of 46050 and 46065.

Prime Factorization of 46050

Prime Factorization of 46065

Now multiplying the highest exponent prime factors to calculate the LCM of 46050 and 46065.

LCM(46050,46065) = 2¹ × 3¹ × 5² × 307¹ × 37¹ × 83¹
LCM(46050,46065) = 141419550