What is the Least Common Multiple of 74384 and 74396?

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 74384 and 74396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74384 and 74396, than apply into the LCM equation.

GCF(74384,74396) = 4
LCM(74384,74396) = ( 74384 × 74396) / 4
LCM(74384,74396) = 5533872064 / 4
LCM(74384,74396) = 1383468016

Least Common Multiple (LCM) of 74384 and 74396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74384 and 74396. First we will calculate the prime factors of 74384 and 74396.

Prime Factorization of 74384

Prime Factorization of 74396

Now multiplying the highest exponent prime factors to calculate the LCM of 74384 and 74396.

LCM(74384,74396) = 2⁴ × 4649¹ × 7¹ × 2657¹
LCM(74384,74396) = 1383468016