What is the Least Common Multiple of 28755 and 28771?

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 28755 and 28771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28755 and 28771, than apply into the LCM equation.

GCF(28755,28771) = 1
LCM(28755,28771) = ( 28755 × 28771) / 1
LCM(28755,28771) = 827310105 / 1
LCM(28755,28771) = 827310105

Least Common Multiple (LCM) of 28755 and 28771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28755 and 28771. First we will calculate the prime factors of 28755 and 28771.

Prime Factorization of 28755

Prime Factorization of 28771

Now multiplying the highest exponent prime factors to calculate the LCM of 28755 and 28771.

LCM(28755,28771) = 3⁴ × 5¹ × 71¹ × 28771¹
LCM(28755,28771) = 827310105