What is the Least Common Multiple of 74096 and 74115?

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 74115 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 74115, than apply into the LCM equation.

GCF(74096,74115) = 1
LCM(74096,74115) = ( 74096 × 74115) / 1
LCM(74096,74115) = 5491625040 / 1
LCM(74096,74115) = 5491625040

Least Common Multiple (LCM) of 74096 and 74115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74096 and 74115. First we will calculate the prime factors of 74096 and 74115.

Prime Factorization of 74096

Prime Factorization of 74115

Now multiplying the highest exponent prime factors to calculate the LCM of 74096 and 74115.

LCM(74096,74115) = 2⁴ × 11¹ × 421¹ × 3⁵ × 5¹ × 61¹
LCM(74096,74115) = 5491625040