What is the Least Common Multiple of 34120 and 34139?

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 34120 and 34139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34120 and 34139, than apply into the LCM equation.

GCF(34120,34139) = 1
LCM(34120,34139) = ( 34120 × 34139) / 1
LCM(34120,34139) = 1164822680 / 1
LCM(34120,34139) = 1164822680

Least Common Multiple (LCM) of 34120 and 34139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34120 and 34139. First we will calculate the prime factors of 34120 and 34139.

Prime Factorization of 34120

Prime Factorization of 34139

Now multiplying the highest exponent prime factors to calculate the LCM of 34120 and 34139.

LCM(34120,34139) = 2³ × 5¹ × 853¹ × 7¹ × 4877¹
LCM(34120,34139) = 1164822680