What is the Least Common Multiple of 76545 and 76565?

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 76545 and 76565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76545 and 76565, than apply into the LCM equation.

GCF(76545,76565) = 5
LCM(76545,76565) = ( 76545 × 76565) / 5
LCM(76545,76565) = 5860667925 / 5
LCM(76545,76565) = 1172133585

Least Common Multiple (LCM) of 76545 and 76565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76545 and 76565. First we will calculate the prime factors of 76545 and 76565.

Prime Factorization of 76545

Prime Factorization of 76565

Now multiplying the highest exponent prime factors to calculate the LCM of 76545 and 76565.

LCM(76545,76565) = 3⁷ × 5¹ × 7¹ × 15313¹
LCM(76545,76565) = 1172133585