What is the Least Common Multiple of 88086 and 88101?

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 88086 and 88101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88086 and 88101, than apply into the LCM equation.

GCF(88086,88101) = 3
LCM(88086,88101) = ( 88086 × 88101) / 3
LCM(88086,88101) = 7760464686 / 3
LCM(88086,88101) = 2586821562

Least Common Multiple (LCM) of 88086 and 88101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88086 and 88101. First we will calculate the prime factors of 88086 and 88101.

Prime Factorization of 88086

Prime Factorization of 88101

Now multiplying the highest exponent prime factors to calculate the LCM of 88086 and 88101.

LCM(88086,88101) = 2¹ × 3³ × 53¹ × 277¹ × 13¹ × 251¹
LCM(88086,88101) = 2586821562