What is the Least Common Multiple of 16478 and 16496?

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 16478 and 16496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16478 and 16496, than apply into the LCM equation.

GCF(16478,16496) = 2
LCM(16478,16496) = ( 16478 × 16496) / 2
LCM(16478,16496) = 271821088 / 2
LCM(16478,16496) = 135910544

Least Common Multiple (LCM) of 16478 and 16496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16478 and 16496. First we will calculate the prime factors of 16478 and 16496.

Prime Factorization of 16478

Prime Factorization of 16496

Now multiplying the highest exponent prime factors to calculate the LCM of 16478 and 16496.

LCM(16478,16496) = 2⁴ × 7¹ × 11¹ × 107¹ × 1031¹
LCM(16478,16496) = 135910544