What is the Least Common Multiple of 77585 and 77600?

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 77585 and 77600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77585 and 77600, than apply into the LCM equation.

GCF(77585,77600) = 5
LCM(77585,77600) = ( 77585 × 77600) / 5
LCM(77585,77600) = 6020596000 / 5
LCM(77585,77600) = 1204119200

Least Common Multiple (LCM) of 77585 and 77600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77585 and 77600. First we will calculate the prime factors of 77585 and 77600.

Prime Factorization of 77585

Prime Factorization of 77600

Now multiplying the highest exponent prime factors to calculate the LCM of 77585 and 77600.

LCM(77585,77600) = 5² × 59¹ × 263¹ × 2⁵ × 97¹
LCM(77585,77600) = 1204119200