What is the Least Common Multiple of 28755 and 28765?

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 28765 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 28765, than apply into the LCM equation.

GCF(28755,28765) = 5
LCM(28755,28765) = ( 28755 × 28765) / 5
LCM(28755,28765) = 827137575 / 5
LCM(28755,28765) = 165427515

Least Common Multiple (LCM) of 28755 and 28765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28755 and 28765. First we will calculate the prime factors of 28755 and 28765.

Prime Factorization of 28755

Prime Factorization of 28765

Now multiplying the highest exponent prime factors to calculate the LCM of 28755 and 28765.

LCM(28755,28765) = 3⁴ × 5¹ × 71¹ × 11¹ × 523¹
LCM(28755,28765) = 165427515