What is the Least Common Multiple of 73129 and 73139?

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 73129 and 73139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73129 and 73139, than apply into the LCM equation.

GCF(73129,73139) = 1
LCM(73129,73139) = ( 73129 × 73139) / 1
LCM(73129,73139) = 5348581931 / 1
LCM(73129,73139) = 5348581931

Least Common Multiple (LCM) of 73129 and 73139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73129 and 73139. First we will calculate the prime factors of 73129 and 73139.

Prime Factorization of 73129

Prime Factorization of 73139

Now multiplying the highest exponent prime factors to calculate the LCM of 73129 and 73139.

LCM(73129,73139) = 7¹ × 31¹ × 337¹ × 11¹ × 61¹ × 109¹
LCM(73129,73139) = 5348581931