What is the Least Common Multiple of 46235 and 46242?

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 46235 and 46242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46235 and 46242, than apply into the LCM equation.

GCF(46235,46242) = 7
LCM(46235,46242) = ( 46235 × 46242) / 7
LCM(46235,46242) = 2137998870 / 7
LCM(46235,46242) = 305428410

Least Common Multiple (LCM) of 46235 and 46242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46235 and 46242. First we will calculate the prime factors of 46235 and 46242.

Prime Factorization of 46235

Prime Factorization of 46242

Now multiplying the highest exponent prime factors to calculate the LCM of 46235 and 46242.

LCM(46235,46242) = 5¹ × 7¹ × 1321¹ × 2¹ × 3² × 367¹
LCM(46235,46242) = 305428410