What is the Least Common Multiple of 74408 and 74416?

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 74408 and 74416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74408 and 74416, than apply into the LCM equation.

GCF(74408,74416) = 8
LCM(74408,74416) = ( 74408 × 74416) / 8
LCM(74408,74416) = 5537145728 / 8
LCM(74408,74416) = 692143216

Least Common Multiple (LCM) of 74408 and 74416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74408 and 74416. First we will calculate the prime factors of 74408 and 74416.

Prime Factorization of 74408

Prime Factorization of 74416

Now multiplying the highest exponent prime factors to calculate the LCM of 74408 and 74416.

LCM(74408,74416) = 2⁴ × 71¹ × 131¹ × 4651¹
LCM(74408,74416) = 692143216