What is the Least Common Multiple of 28480 and 28494?

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 28480 and 28494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28480 and 28494, than apply into the LCM equation.

GCF(28480,28494) = 2
LCM(28480,28494) = ( 28480 × 28494) / 2
LCM(28480,28494) = 811509120 / 2
LCM(28480,28494) = 405754560

Least Common Multiple (LCM) of 28480 and 28494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28480 and 28494. First we will calculate the prime factors of 28480 and 28494.

Prime Factorization of 28480

Prime Factorization of 28494

Now multiplying the highest exponent prime factors to calculate the LCM of 28480 and 28494.

LCM(28480,28494) = 2⁶ × 5¹ × 89¹ × 3² × 1583¹
LCM(28480,28494) = 405754560