What is the Least Common Multiple of 77172 and 77184?

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 77172 and 77184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77172 and 77184, than apply into the LCM equation.

GCF(77172,77184) = 12
LCM(77172,77184) = ( 77172 × 77184) / 12
LCM(77172,77184) = 5956443648 / 12
LCM(77172,77184) = 496370304

Least Common Multiple (LCM) of 77172 and 77184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77172 and 77184. First we will calculate the prime factors of 77172 and 77184.

Prime Factorization of 77172

Prime Factorization of 77184

Now multiplying the highest exponent prime factors to calculate the LCM of 77172 and 77184.

LCM(77172,77184) = 2⁷ × 3² × 59¹ × 109¹ × 67¹
LCM(77172,77184) = 496370304