What is the Least Common Multiple of 46440 and 46456?

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 46456 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 46456, than apply into the LCM equation.

GCF(46440,46456) = 8
LCM(46440,46456) = ( 46440 × 46456) / 8
LCM(46440,46456) = 2157416640 / 8
LCM(46440,46456) = 269677080

Least Common Multiple (LCM) of 46440 and 46456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46440 and 46456. First we will calculate the prime factors of 46440 and 46456.

Prime Factorization of 46440

Prime Factorization of 46456

Now multiplying the highest exponent prime factors to calculate the LCM of 46440 and 46456.

LCM(46440,46456) = 2³ × 3³ × 5¹ × 43¹ × 5807¹
LCM(46440,46456) = 269677080