What is the Least Common Multiple of 72852 and 72871?

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 72852 and 72871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72852 and 72871, than apply into the LCM equation.

GCF(72852,72871) = 1
LCM(72852,72871) = ( 72852 × 72871) / 1
LCM(72852,72871) = 5308798092 / 1
LCM(72852,72871) = 5308798092

Least Common Multiple (LCM) of 72852 and 72871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72852 and 72871. First we will calculate the prime factors of 72852 and 72871.

Prime Factorization of 72852

Prime Factorization of 72871

Now multiplying the highest exponent prime factors to calculate the LCM of 72852 and 72871.

LCM(72852,72871) = 2² × 3¹ × 13¹ × 467¹ × 72871¹
LCM(72852,72871) = 5308798092