What is the Least Common Multiple of 10120 and 10139?

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 10120 and 10139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10120 and 10139, than apply into the LCM equation.

GCF(10120,10139) = 1
LCM(10120,10139) = ( 10120 × 10139) / 1
LCM(10120,10139) = 102606680 / 1
LCM(10120,10139) = 102606680

Least Common Multiple (LCM) of 10120 and 10139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10120 and 10139. First we will calculate the prime factors of 10120 and 10139.

Prime Factorization of 10120

Prime Factorization of 10139

Now multiplying the highest exponent prime factors to calculate the LCM of 10120 and 10139.

LCM(10120,10139) = 2³ × 5¹ × 11¹ × 23¹ × 10139¹
LCM(10120,10139) = 102606680