What is the Least Common Multiple of 76576 and 76585?

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 76576 and 76585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76576 and 76585, than apply into the LCM equation.

GCF(76576,76585) = 1
LCM(76576,76585) = ( 76576 × 76585) / 1
LCM(76576,76585) = 5864572960 / 1
LCM(76576,76585) = 5864572960

Least Common Multiple (LCM) of 76576 and 76585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76576 and 76585. First we will calculate the prime factors of 76576 and 76585.

Prime Factorization of 76576

Prime Factorization of 76585

Now multiplying the highest exponent prime factors to calculate the LCM of 76576 and 76585.

LCM(76576,76585) = 2⁵ × 2393¹ × 5¹ × 17² × 53¹
LCM(76576,76585) = 5864572960