What is the Least Common Multiple of 77123 and 77139?

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 77123 and 77139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77123 and 77139, than apply into the LCM equation.

GCF(77123,77139) = 1
LCM(77123,77139) = ( 77123 × 77139) / 1
LCM(77123,77139) = 5949191097 / 1
LCM(77123,77139) = 5949191097

Least Common Multiple (LCM) of 77123 and 77139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77123 and 77139. First we will calculate the prime factors of 77123 and 77139.

Prime Factorization of 77123

Prime Factorization of 77139

Now multiplying the highest exponent prime factors to calculate the LCM of 77123 and 77139.

LCM(77123,77139) = 233¹ × 331¹ × 3³ × 2857¹
LCM(77123,77139) = 5949191097