What is the Least Common Multiple of 46420 and 46433?

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 46420 and 46433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46420 and 46433, than apply into the LCM equation.

GCF(46420,46433) = 1
LCM(46420,46433) = ( 46420 × 46433) / 1
LCM(46420,46433) = 2155419860 / 1
LCM(46420,46433) = 2155419860

Least Common Multiple (LCM) of 46420 and 46433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46420 and 46433. First we will calculate the prime factors of 46420 and 46433.

Prime Factorization of 46420

Prime Factorization of 46433

Now multiplying the highest exponent prime factors to calculate the LCM of 46420 and 46433.

LCM(46420,46433) = 2² × 5¹ × 11¹ × 211¹ × 59¹ × 787¹
LCM(46420,46433) = 2155419860