What is the Least Common Multiple of 74096 and 74113?

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 74096 and 74113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74096 and 74113, than apply into the LCM equation.

GCF(74096,74113) = 1
LCM(74096,74113) = ( 74096 × 74113) / 1
LCM(74096,74113) = 5491476848 / 1
LCM(74096,74113) = 5491476848

Least Common Multiple (LCM) of 74096 and 74113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74096 and 74113. First we will calculate the prime factors of 74096 and 74113.

Prime Factorization of 74096

Prime Factorization of 74113

Now multiplying the highest exponent prime factors to calculate the LCM of 74096 and 74113.

LCM(74096,74113) = 2⁴ × 11¹ × 421¹ × 13¹ × 5701¹
LCM(74096,74113) = 5491476848