What is the Least Common Multiple of 46457 and 46462?

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 46457 and 46462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46457 and 46462, than apply into the LCM equation.

GCF(46457,46462) = 1
LCM(46457,46462) = ( 46457 × 46462) / 1
LCM(46457,46462) = 2158485134 / 1
LCM(46457,46462) = 2158485134

Least Common Multiple (LCM) of 46457 and 46462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46457 and 46462. First we will calculate the prime factors of 46457 and 46462.

Prime Factorization of 46457

Prime Factorization of 46462

Now multiplying the highest exponent prime factors to calculate the LCM of 46457 and 46462.

LCM(46457,46462) = 46457¹ × 2¹ × 13¹ × 1787¹
LCM(46457,46462) = 2158485134