What is the Least Common Multiple of 82172 and 82184?

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 82172 and 82184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82172 and 82184, than apply into the LCM equation.

GCF(82172,82184) = 4
LCM(82172,82184) = ( 82172 × 82184) / 4
LCM(82172,82184) = 6753223648 / 4
LCM(82172,82184) = 1688305912

Least Common Multiple (LCM) of 82172 and 82184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82172 and 82184. First we will calculate the prime factors of 82172 and 82184.

Prime Factorization of 82172

Prime Factorization of 82184

Now multiplying the highest exponent prime factors to calculate the LCM of 82172 and 82184.

LCM(82172,82184) = 2³ × 20543¹ × 10273¹
LCM(82172,82184) = 1688305912