What is the Least Common Multiple of 46146 and 46150?

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 46146 and 46150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46146 and 46150, than apply into the LCM equation.

GCF(46146,46150) = 2
LCM(46146,46150) = ( 46146 × 46150) / 2
LCM(46146,46150) = 2129637900 / 2
LCM(46146,46150) = 1064818950

Least Common Multiple (LCM) of 46146 and 46150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46146 and 46150. First we will calculate the prime factors of 46146 and 46150.

Prime Factorization of 46146

Prime Factorization of 46150

Now multiplying the highest exponent prime factors to calculate the LCM of 46146 and 46150.

LCM(46146,46150) = 2¹ × 3¹ × 7691¹ × 5² × 13¹ × 71¹
LCM(46146,46150) = 1064818950