What is the Least Common Multiple of 35604 and 35616?

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 35604 and 35616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35604 and 35616, than apply into the LCM equation.

GCF(35604,35616) = 12
LCM(35604,35616) = ( 35604 × 35616) / 12
LCM(35604,35616) = 1268072064 / 12
LCM(35604,35616) = 105672672

Least Common Multiple (LCM) of 35604 and 35616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35604 and 35616. First we will calculate the prime factors of 35604 and 35616.

Prime Factorization of 35604

Prime Factorization of 35616

Now multiplying the highest exponent prime factors to calculate the LCM of 35604 and 35616.

LCM(35604,35616) = 2⁵ × 3² × 23¹ × 43¹ × 7¹ × 53¹
LCM(35604,35616) = 105672672