What is the Least Common Multiple of 46496 and 46509?

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 46496 and 46509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46496 and 46509, than apply into the LCM equation.

GCF(46496,46509) = 1
LCM(46496,46509) = ( 46496 × 46509) / 1
LCM(46496,46509) = 2162482464 / 1
LCM(46496,46509) = 2162482464

Least Common Multiple (LCM) of 46496 and 46509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46496 and 46509. First we will calculate the prime factors of 46496 and 46509.

Prime Factorization of 46496

Prime Factorization of 46509

Now multiplying the highest exponent prime factors to calculate the LCM of 46496 and 46509.

LCM(46496,46509) = 2⁵ × 1453¹ × 3¹ × 37¹ × 419¹
LCM(46496,46509) = 2162482464