What is the Least Common Multiple of 98604 and 98616?

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 98604 and 98616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98604 and 98616, than apply into the LCM equation.

GCF(98604,98616) = 12
LCM(98604,98616) = ( 98604 × 98616) / 12
LCM(98604,98616) = 9723932064 / 12
LCM(98604,98616) = 810327672

Least Common Multiple (LCM) of 98604 and 98616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98604 and 98616. First we will calculate the prime factors of 98604 and 98616.

Prime Factorization of 98604

Prime Factorization of 98616

Now multiplying the highest exponent prime factors to calculate the LCM of 98604 and 98616.

LCM(98604,98616) = 2³ × 3³ × 11¹ × 83¹ × 7¹ × 587¹
LCM(98604,98616) = 810327672