What is the Least Common Multiple of 46509 and 46519?

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 46509 and 46519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46509 and 46519, than apply into the LCM equation.

GCF(46509,46519) = 1
LCM(46509,46519) = ( 46509 × 46519) / 1
LCM(46509,46519) = 2163552171 / 1
LCM(46509,46519) = 2163552171

Least Common Multiple (LCM) of 46509 and 46519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46509 and 46519. First we will calculate the prime factors of 46509 and 46519.

Prime Factorization of 46509

Prime Factorization of 46519

Now multiplying the highest exponent prime factors to calculate the LCM of 46509 and 46519.

LCM(46509,46519) = 3¹ × 37¹ × 419¹ × 11¹ × 4229¹
LCM(46509,46519) = 2163552171