What is the Least Common Multiple of 77184 and 77193?

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 77193 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 77193, than apply into the LCM equation.

GCF(77184,77193) = 9
LCM(77184,77193) = ( 77184 × 77193) / 9
LCM(77184,77193) = 5958064512 / 9
LCM(77184,77193) = 662007168

Least Common Multiple (LCM) of 77184 and 77193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77184 and 77193. First we will calculate the prime factors of 77184 and 77193.

Prime Factorization of 77184

Prime Factorization of 77193

Now multiplying the highest exponent prime factors to calculate the LCM of 77184 and 77193.

LCM(77184,77193) = 2⁷ × 3⁴ × 67¹ × 953¹
LCM(77184,77193) = 662007168