What is the Least Common Multiple of 77184 and 77201?

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 77184 and 77201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77184 and 77201, than apply into the LCM equation.

GCF(77184,77201) = 1
LCM(77184,77201) = ( 77184 × 77201) / 1
LCM(77184,77201) = 5958681984 / 1
LCM(77184,77201) = 5958681984

Least Common Multiple (LCM) of 77184 and 77201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77184 and 77201. First we will calculate the prime factors of 77184 and 77201.

Prime Factorization of 77184

Prime Factorization of 77201

Now multiplying the highest exponent prime factors to calculate the LCM of 77184 and 77201.

LCM(77184,77201) = 2⁷ × 3² × 67¹ × 77201¹
LCM(77184,77201) = 5958681984