What is the Least Common Multiple of 76985 and 77000?

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 76985 and 77000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76985 and 77000, than apply into the LCM equation.

GCF(76985,77000) = 5
LCM(76985,77000) = ( 76985 × 77000) / 5
LCM(76985,77000) = 5927845000 / 5
LCM(76985,77000) = 1185569000

Least Common Multiple (LCM) of 76985 and 77000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76985 and 77000. First we will calculate the prime factors of 76985 and 77000.

Prime Factorization of 76985

Prime Factorization of 77000

Now multiplying the highest exponent prime factors to calculate the LCM of 76985 and 77000.

LCM(76985,77000) = 5³ × 89¹ × 173¹ × 2³ × 7¹ × 11¹
LCM(76985,77000) = 1185569000