What is the Least Common Multiple of 89101 and 89105?

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 89101 and 89105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89101 and 89105, than apply into the LCM equation.

GCF(89101,89105) = 1
LCM(89101,89105) = ( 89101 × 89105) / 1
LCM(89101,89105) = 7939344605 / 1
LCM(89101,89105) = 7939344605

Least Common Multiple (LCM) of 89101 and 89105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89101 and 89105. First we will calculate the prime factors of 89101 and 89105.

Prime Factorization of 89101

Prime Factorization of 89105

Now multiplying the highest exponent prime factors to calculate the LCM of 89101 and 89105.

LCM(89101,89105) = 89101¹ × 5¹ × 71¹ × 251¹
LCM(89101,89105) = 7939344605