What is the Least Common Multiple of 46420 and 46438?

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 46420 and 46438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46420 and 46438, than apply into the LCM equation.

GCF(46420,46438) = 2
LCM(46420,46438) = ( 46420 × 46438) / 2
LCM(46420,46438) = 2155651960 / 2
LCM(46420,46438) = 1077825980

Least Common Multiple (LCM) of 46420 and 46438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46420 and 46438. First we will calculate the prime factors of 46420 and 46438.

Prime Factorization of 46420

Prime Factorization of 46438

Now multiplying the highest exponent prime factors to calculate the LCM of 46420 and 46438.

LCM(46420,46438) = 2² × 5¹ × 11¹ × 211¹ × 7¹ × 31¹ × 107¹
LCM(46420,46438) = 1077825980