What is the Least Common Multiple of 46224 and 46241?

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 46241 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 46241, than apply into the LCM equation.

GCF(46224,46241) = 1
LCM(46224,46241) = ( 46224 × 46241) / 1
LCM(46224,46241) = 2137443984 / 1
LCM(46224,46241) = 2137443984

Least Common Multiple (LCM) of 46224 and 46241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46224 and 46241. First we will calculate the prime factors of 46224 and 46241.

Prime Factorization of 46224

Prime Factorization of 46241

Now multiplying the highest exponent prime factors to calculate the LCM of 46224 and 46241.

LCM(46224,46241) = 2⁴ × 3³ × 107¹ × 13¹ × 3557¹
LCM(46224,46241) = 2137443984