What is the Least Common Multiple of 46450 and 46465?

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 46450 and 46465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46450 and 46465, than apply into the LCM equation.

GCF(46450,46465) = 5
LCM(46450,46465) = ( 46450 × 46465) / 5
LCM(46450,46465) = 2158299250 / 5
LCM(46450,46465) = 431659850

Least Common Multiple (LCM) of 46450 and 46465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46450 and 46465. First we will calculate the prime factors of 46450 and 46465.

Prime Factorization of 46450

Prime Factorization of 46465

Now multiplying the highest exponent prime factors to calculate the LCM of 46450 and 46465.

LCM(46450,46465) = 2¹ × 5² × 929¹ × 9293¹
LCM(46450,46465) = 431659850