What is the Least Common Multiple of 28960 and 28974?

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 28960 and 28974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28960 and 28974, than apply into the LCM equation.

GCF(28960,28974) = 2
LCM(28960,28974) = ( 28960 × 28974) / 2
LCM(28960,28974) = 839087040 / 2
LCM(28960,28974) = 419543520

Least Common Multiple (LCM) of 28960 and 28974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28960 and 28974. First we will calculate the prime factors of 28960 and 28974.

Prime Factorization of 28960

Prime Factorization of 28974

Now multiplying the highest exponent prime factors to calculate the LCM of 28960 and 28974.

LCM(28960,28974) = 2⁵ × 5¹ × 181¹ × 3¹ × 11¹ × 439¹
LCM(28960,28974) = 419543520