What is the Least Common Multiple of 88071 and 88086?

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 88071 and 88086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88071 and 88086, than apply into the LCM equation.

GCF(88071,88086) = 3
LCM(88071,88086) = ( 88071 × 88086) / 3
LCM(88071,88086) = 7757822106 / 3
LCM(88071,88086) = 2585940702

Least Common Multiple (LCM) of 88071 and 88086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88071 and 88086. First we will calculate the prime factors of 88071 and 88086.

Prime Factorization of 88071

Prime Factorization of 88086

Now multiplying the highest exponent prime factors to calculate the LCM of 88071 and 88086.

LCM(88071,88086) = 3¹ × 31¹ × 947¹ × 2¹ × 53¹ × 277¹
LCM(88071,88086) = 2585940702