What is the Least Common Multiple of 71130 and 71139?

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 71130 and 71139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71130 and 71139, than apply into the LCM equation.

GCF(71130,71139) = 3
LCM(71130,71139) = ( 71130 × 71139) / 3
LCM(71130,71139) = 5060117070 / 3
LCM(71130,71139) = 1686705690

Least Common Multiple (LCM) of 71130 and 71139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71130 and 71139. First we will calculate the prime factors of 71130 and 71139.

Prime Factorization of 71130

Prime Factorization of 71139

Now multiplying the highest exponent prime factors to calculate the LCM of 71130 and 71139.

LCM(71130,71139) = 2¹ × 3¹ × 5¹ × 2371¹ × 23¹ × 1031¹
LCM(71130,71139) = 1686705690