What is the Least Common Multiple of 46440 and 46457?

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 46440 and 46457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46440 and 46457, than apply into the LCM equation.

GCF(46440,46457) = 1
LCM(46440,46457) = ( 46440 × 46457) / 1
LCM(46440,46457) = 2157463080 / 1
LCM(46440,46457) = 2157463080

Least Common Multiple (LCM) of 46440 and 46457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46440 and 46457. First we will calculate the prime factors of 46440 and 46457.

Prime Factorization of 46440

Prime Factorization of 46457

Now multiplying the highest exponent prime factors to calculate the LCM of 46440 and 46457.

LCM(46440,46457) = 2³ × 3³ × 5¹ × 43¹ × 46457¹
LCM(46440,46457) = 2157463080