What is the Least Common Multiple of 46224 and 46235?

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 46235 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 46235, than apply into the LCM equation.

GCF(46224,46235) = 1
LCM(46224,46235) = ( 46224 × 46235) / 1
LCM(46224,46235) = 2137166640 / 1
LCM(46224,46235) = 2137166640

Least Common Multiple (LCM) of 46224 and 46235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46224 and 46235. First we will calculate the prime factors of 46224 and 46235.

Prime Factorization of 46224

Prime Factorization of 46235

Now multiplying the highest exponent prime factors to calculate the LCM of 46224 and 46235.

LCM(46224,46235) = 2⁴ × 3³ × 107¹ × 5¹ × 7¹ × 1321¹
LCM(46224,46235) = 2137166640