What is the Least Common Multiple of 77184 and 77190?

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 77190 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 77190, than apply into the LCM equation.

GCF(77184,77190) = 6
LCM(77184,77190) = ( 77184 × 77190) / 6
LCM(77184,77190) = 5957832960 / 6
LCM(77184,77190) = 992972160

Least Common Multiple (LCM) of 77184 and 77190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77184 and 77190. First we will calculate the prime factors of 77184 and 77190.

Prime Factorization of 77184

Prime Factorization of 77190

Now multiplying the highest exponent prime factors to calculate the LCM of 77184 and 77190.

LCM(77184,77190) = 2⁷ × 3² × 67¹ × 5¹ × 31¹ × 83¹
LCM(77184,77190) = 992972160