What is the Least Common Multiple of 46438 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 46438 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 46438 and 46456, than apply into the LCM equation.

GCF(46438,46456) = 2
LCM(46438,46456) = ( 46438 × 46456) / 2
LCM(46438,46456) = 2157323728 / 2
LCM(46438,46456) = 1078661864

Least Common Multiple (LCM) of 46438 and 46456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46438 and 46456. First we will calculate the prime factors of 46438 and 46456.

Prime Factorization of 46438

Prime Factorization of 46456

Now multiplying the highest exponent prime factors to calculate the LCM of 46438 and 46456.

LCM(46438,46456) = 2³ × 7¹ × 31¹ × 107¹ × 5807¹
LCM(46438,46456) = 1078661864