What is the Least Common Multiple of 28760 and 28768?

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 28760 and 28768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28760 and 28768, than apply into the LCM equation.

GCF(28760,28768) = 8
LCM(28760,28768) = ( 28760 × 28768) / 8
LCM(28760,28768) = 827367680 / 8
LCM(28760,28768) = 103420960

Least Common Multiple (LCM) of 28760 and 28768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28760 and 28768. First we will calculate the prime factors of 28760 and 28768.

Prime Factorization of 28760

Prime Factorization of 28768

Now multiplying the highest exponent prime factors to calculate the LCM of 28760 and 28768.

LCM(28760,28768) = 2⁵ × 5¹ × 719¹ × 29¹ × 31¹
LCM(28760,28768) = 103420960