What is the Least Common Multiple of 46224 and 46238?

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 46224 and 46238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46224 and 46238, than apply into the LCM equation.

GCF(46224,46238) = 2
LCM(46224,46238) = ( 46224 × 46238) / 2
LCM(46224,46238) = 2137305312 / 2
LCM(46224,46238) = 1068652656

Least Common Multiple (LCM) of 46224 and 46238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46224 and 46238. First we will calculate the prime factors of 46224 and 46238.

Prime Factorization of 46224

Prime Factorization of 46238

Now multiplying the highest exponent prime factors to calculate the LCM of 46224 and 46238.

LCM(46224,46238) = 2⁴ × 3³ × 107¹ × 61¹ × 379¹
LCM(46224,46238) = 1068652656