What is the Least Common Multiple of 46238 and 46248?

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 46238 and 46248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46238 and 46248, than apply into the LCM equation.

GCF(46238,46248) = 2
LCM(46238,46248) = ( 46238 × 46248) / 2
LCM(46238,46248) = 2138415024 / 2
LCM(46238,46248) = 1069207512

Least Common Multiple (LCM) of 46238 and 46248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46238 and 46248. First we will calculate the prime factors of 46238 and 46248.

Prime Factorization of 46238

Prime Factorization of 46248

Now multiplying the highest exponent prime factors to calculate the LCM of 46238 and 46248.

LCM(46238,46248) = 2³ × 61¹ × 379¹ × 3¹ × 41¹ × 47¹
LCM(46238,46248) = 1069207512