What is the Least Common Multiple of 46543 and 46550?

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 46543 and 46550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46543 and 46550, than apply into the LCM equation.

GCF(46543,46550) = 7
LCM(46543,46550) = ( 46543 × 46550) / 7
LCM(46543,46550) = 2166576650 / 7
LCM(46543,46550) = 309510950

Least Common Multiple (LCM) of 46543 and 46550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46543 and 46550. First we will calculate the prime factors of 46543 and 46550.

Prime Factorization of 46543

Prime Factorization of 46550

Now multiplying the highest exponent prime factors to calculate the LCM of 46543 and 46550.

LCM(46543,46550) = 7² × 61¹ × 109¹ × 2¹ × 5² × 19¹
LCM(46543,46550) = 309510950