What is the Least Common Multiple of 46480 and 46496?

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 46480 and 46496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46480 and 46496, than apply into the LCM equation.

GCF(46480,46496) = 16
LCM(46480,46496) = ( 46480 × 46496) / 16
LCM(46480,46496) = 2161134080 / 16
LCM(46480,46496) = 135070880

Least Common Multiple (LCM) of 46480 and 46496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46480 and 46496. First we will calculate the prime factors of 46480 and 46496.

Prime Factorization of 46480

Prime Factorization of 46496

Now multiplying the highest exponent prime factors to calculate the LCM of 46480 and 46496.

LCM(46480,46496) = 2⁵ × 5¹ × 7¹ × 83¹ × 1453¹
LCM(46480,46496) = 135070880