What is the Least Common Multiple of 46228 and 46247?

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 46247 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 46247, than apply into the LCM equation.

GCF(46228,46247) = 1
LCM(46228,46247) = ( 46228 × 46247) / 1
LCM(46228,46247) = 2137906316 / 1
LCM(46228,46247) = 2137906316

Least Common Multiple (LCM) of 46228 and 46247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46228 and 46247. First we will calculate the prime factors of 46228 and 46247.

Prime Factorization of 46228

Prime Factorization of 46247

Now multiplying the highest exponent prime factors to calculate the LCM of 46228 and 46247.

LCM(46228,46247) = 2² × 7¹ × 13¹ × 127¹ × 103¹ × 449¹
LCM(46228,46247) = 2137906316