What is the Least Common Multiple of 30488 and 30496?

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 30488 and 30496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30488 and 30496, than apply into the LCM equation.

GCF(30488,30496) = 8
LCM(30488,30496) = ( 30488 × 30496) / 8
LCM(30488,30496) = 929762048 / 8
LCM(30488,30496) = 116220256

Least Common Multiple (LCM) of 30488 and 30496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30488 and 30496. First we will calculate the prime factors of 30488 and 30496.

Prime Factorization of 30488

Prime Factorization of 30496

Now multiplying the highest exponent prime factors to calculate the LCM of 30488 and 30496.

LCM(30488,30496) = 2⁵ × 37¹ × 103¹ × 953¹
LCM(30488,30496) = 116220256