What is the Least Common Multiple of 8078 and 8086?

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 8078 and 8086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8078 and 8086, than apply into the LCM equation.

GCF(8078,8086) = 2
LCM(8078,8086) = ( 8078 × 8086) / 2
LCM(8078,8086) = 65318708 / 2
LCM(8078,8086) = 32659354

Least Common Multiple (LCM) of 8078 and 8086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8078 and 8086. First we will calculate the prime factors of 8078 and 8086.

Prime Factorization of 8078

Prime Factorization of 8086

Now multiplying the highest exponent prime factors to calculate the LCM of 8078 and 8086.

LCM(8078,8086) = 2¹ × 7¹ × 577¹ × 13¹ × 311¹
LCM(8078,8086) = 32659354