What is the Least Common Multiple of 3604 and 3616?

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 3604 and 3616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3604 and 3616, than apply into the LCM equation.

GCF(3604,3616) = 4
LCM(3604,3616) = ( 3604 × 3616) / 4
LCM(3604,3616) = 13032064 / 4
LCM(3604,3616) = 3258016

Least Common Multiple (LCM) of 3604 and 3616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3604 and 3616. First we will calculate the prime factors of 3604 and 3616.

Prime Factorization of 3604

Prime Factorization of 3616

Now multiplying the highest exponent prime factors to calculate the LCM of 3604 and 3616.

LCM(3604,3616) = 2⁵ × 17¹ × 53¹ × 113¹
LCM(3604,3616) = 3258016