What is the Least Common Multiple of 99604 and 99616?

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 99604 and 99616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99604 and 99616, than apply into the LCM equation.

GCF(99604,99616) = 4
LCM(99604,99616) = ( 99604 × 99616) / 4
LCM(99604,99616) = 9922152064 / 4
LCM(99604,99616) = 2480538016

Least Common Multiple (LCM) of 99604 and 99616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99604 and 99616. First we will calculate the prime factors of 99604 and 99616.

Prime Factorization of 99604

Prime Factorization of 99616

Now multiplying the highest exponent prime factors to calculate the LCM of 99604 and 99616.

LCM(99604,99616) = 2⁵ × 37¹ × 673¹ × 11¹ × 283¹
LCM(99604,99616) = 2480538016