What is the Least Common Multiple of 88005 and 88014?

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 88005 and 88014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88005 and 88014, than apply into the LCM equation.

GCF(88005,88014) = 3
LCM(88005,88014) = ( 88005 × 88014) / 3
LCM(88005,88014) = 7745672070 / 3
LCM(88005,88014) = 2581890690

Least Common Multiple (LCM) of 88005 and 88014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88005 and 88014. First we will calculate the prime factors of 88005 and 88014.

Prime Factorization of 88005

Prime Factorization of 88014

Now multiplying the highest exponent prime factors to calculate the LCM of 88005 and 88014.

LCM(88005,88014) = 3¹ × 5¹ × 5867¹ × 2¹ × 14669¹
LCM(88005,88014) = 2581890690