What is the Least Common Multiple of 85608 and 85616?

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 85608 and 85616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85608 and 85616, than apply into the LCM equation.

GCF(85608,85616) = 8
LCM(85608,85616) = ( 85608 × 85616) / 8
LCM(85608,85616) = 7329414528 / 8
LCM(85608,85616) = 916176816

Least Common Multiple (LCM) of 85608 and 85616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85608 and 85616. First we will calculate the prime factors of 85608 and 85616.

Prime Factorization of 85608

Prime Factorization of 85616

Now multiplying the highest exponent prime factors to calculate the LCM of 85608 and 85616.

LCM(85608,85616) = 2⁴ × 3² × 29¹ × 41¹ × 5351¹
LCM(85608,85616) = 916176816