What is the Least Common Multiple of 83122 and 83139?

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 83122 and 83139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83122 and 83139, than apply into the LCM equation.

GCF(83122,83139) = 1
LCM(83122,83139) = ( 83122 × 83139) / 1
LCM(83122,83139) = 6910679958 / 1
LCM(83122,83139) = 6910679958

Least Common Multiple (LCM) of 83122 and 83139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83122 and 83139. First we will calculate the prime factors of 83122 and 83139.

Prime Factorization of 83122

Prime Factorization of 83139

Now multiplying the highest exponent prime factors to calculate the LCM of 83122 and 83139.

LCM(83122,83139) = 2¹ × 13¹ × 23¹ × 139¹ × 3¹ × 7¹ × 37¹ × 107¹
LCM(83122,83139) = 6910679958