What is the Least Common Multiple of 28464 and 28480?

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 28464 and 28480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28464 and 28480, than apply into the LCM equation.

GCF(28464,28480) = 16
LCM(28464,28480) = ( 28464 × 28480) / 16
LCM(28464,28480) = 810654720 / 16
LCM(28464,28480) = 50665920

Least Common Multiple (LCM) of 28464 and 28480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28464 and 28480. First we will calculate the prime factors of 28464 and 28480.

Prime Factorization of 28464

Prime Factorization of 28480

Now multiplying the highest exponent prime factors to calculate the LCM of 28464 and 28480.

LCM(28464,28480) = 2⁶ × 3¹ × 593¹ × 5¹ × 89¹
LCM(28464,28480) = 50665920