What is the Least Common Multiple of 10096 and 10105?

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 10096 and 10105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10096 and 10105, than apply into the LCM equation.

GCF(10096,10105) = 1
LCM(10096,10105) = ( 10096 × 10105) / 1
LCM(10096,10105) = 102020080 / 1
LCM(10096,10105) = 102020080

Least Common Multiple (LCM) of 10096 and 10105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10096 and 10105. First we will calculate the prime factors of 10096 and 10105.

Prime Factorization of 10096

Prime Factorization of 10105

Now multiplying the highest exponent prime factors to calculate the LCM of 10096 and 10105.

LCM(10096,10105) = 2⁴ × 631¹ × 5¹ × 43¹ × 47¹
LCM(10096,10105) = 102020080