What is the Least Common Multiple of 46805 and 46820?

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 46805 and 46820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46805 and 46820, than apply into the LCM equation.

GCF(46805,46820) = 5
LCM(46805,46820) = ( 46805 × 46820) / 5
LCM(46805,46820) = 2191410100 / 5
LCM(46805,46820) = 438282020

Least Common Multiple (LCM) of 46805 and 46820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46805 and 46820. First we will calculate the prime factors of 46805 and 46820.

Prime Factorization of 46805

Prime Factorization of 46820

Now multiplying the highest exponent prime factors to calculate the LCM of 46805 and 46820.

LCM(46805,46820) = 5¹ × 11¹ × 23¹ × 37¹ × 2² × 2341¹
LCM(46805,46820) = 438282020