What is the Least Common Multiple of 46228 and 46232?

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 46228 and 46232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46228 and 46232, than apply into the LCM equation.

GCF(46228,46232) = 4
LCM(46228,46232) = ( 46228 × 46232) / 4
LCM(46228,46232) = 2137212896 / 4
LCM(46228,46232) = 534303224

Least Common Multiple (LCM) of 46228 and 46232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46228 and 46232. First we will calculate the prime factors of 46228 and 46232.

Prime Factorization of 46228

Prime Factorization of 46232

Now multiplying the highest exponent prime factors to calculate the LCM of 46228 and 46232.

LCM(46228,46232) = 2³ × 7¹ × 13¹ × 127¹ × 5779¹
LCM(46228,46232) = 534303224