What is the Least Common Multiple of 78120 and 78139?

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 78120 and 78139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78120 and 78139, than apply into the LCM equation.

GCF(78120,78139) = 1
LCM(78120,78139) = ( 78120 × 78139) / 1
LCM(78120,78139) = 6104218680 / 1
LCM(78120,78139) = 6104218680

Least Common Multiple (LCM) of 78120 and 78139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78120 and 78139. First we will calculate the prime factors of 78120 and 78139.

Prime Factorization of 78120

Prime Factorization of 78139

Now multiplying the highest exponent prime factors to calculate the LCM of 78120 and 78139.

LCM(78120,78139) = 2³ × 3² × 5¹ × 7¹ × 31¹ × 78139¹
LCM(78120,78139) = 6104218680