What is the Least Common Multiple of 46563 and 46580?

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 46563 and 46580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46563 and 46580, than apply into the LCM equation.

GCF(46563,46580) = 17
LCM(46563,46580) = ( 46563 × 46580) / 17
LCM(46563,46580) = 2168904540 / 17
LCM(46563,46580) = 127582620

Least Common Multiple (LCM) of 46563 and 46580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46563 and 46580. First we will calculate the prime factors of 46563 and 46580.

Prime Factorization of 46563

Prime Factorization of 46580

Now multiplying the highest exponent prime factors to calculate the LCM of 46563 and 46580.

LCM(46563,46580) = 3¹ × 11¹ × 17¹ × 83¹ × 2² × 5¹ × 137¹
LCM(46563,46580) = 127582620