What is the Least Common Multiple of 58884 and 58896?

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 58884 and 58896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58884 and 58896, than apply into the LCM equation.

GCF(58884,58896) = 12
LCM(58884,58896) = ( 58884 × 58896) / 12
LCM(58884,58896) = 3468032064 / 12
LCM(58884,58896) = 289002672

Least Common Multiple (LCM) of 58884 and 58896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58884 and 58896. First we will calculate the prime factors of 58884 and 58896.

Prime Factorization of 58884

Prime Factorization of 58896

Now multiplying the highest exponent prime factors to calculate the LCM of 58884 and 58896.

LCM(58884,58896) = 2⁴ × 3² × 7¹ × 701¹ × 409¹
LCM(58884,58896) = 289002672