What is the Least Common Multiple of 74086 and 74096?

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 74086 and 74096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74086 and 74096, than apply into the LCM equation.

GCF(74086,74096) = 2
LCM(74086,74096) = ( 74086 × 74096) / 2
LCM(74086,74096) = 5489476256 / 2
LCM(74086,74096) = 2744738128

Least Common Multiple (LCM) of 74086 and 74096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74086 and 74096. First we will calculate the prime factors of 74086 and 74096.

Prime Factorization of 74086

Prime Factorization of 74096

Now multiplying the highest exponent prime factors to calculate the LCM of 74086 and 74096.

LCM(74086,74096) = 2⁴ × 17¹ × 2179¹ × 11¹ × 421¹
LCM(74086,74096) = 2744738128