What is the Least Common Multiple of 72126 and 72131?

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 72126 and 72131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72126 and 72131, than apply into the LCM equation.

GCF(72126,72131) = 1
LCM(72126,72131) = ( 72126 × 72131) / 1
LCM(72126,72131) = 5202520506 / 1
LCM(72126,72131) = 5202520506

Least Common Multiple (LCM) of 72126 and 72131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72126 and 72131. First we will calculate the prime factors of 72126 and 72131.

Prime Factorization of 72126

Prime Factorization of 72131

Now multiplying the highest exponent prime factors to calculate the LCM of 72126 and 72131.

LCM(72126,72131) = 2¹ × 3² × 4007¹ × 17¹ × 4243¹
LCM(72126,72131) = 5202520506