What is the Least Common Multiple of 82374 and 82392?

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 82374 and 82392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82374 and 82392, than apply into the LCM equation.

GCF(82374,82392) = 6
LCM(82374,82392) = ( 82374 × 82392) / 6
LCM(82374,82392) = 6786958608 / 6
LCM(82374,82392) = 1131159768

Least Common Multiple (LCM) of 82374 and 82392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82374 and 82392. First we will calculate the prime factors of 82374 and 82392.

Prime Factorization of 82374

Prime Factorization of 82392

Now multiplying the highest exponent prime factors to calculate the LCM of 82374 and 82392.

LCM(82374,82392) = 2³ × 3¹ × 13729¹ × 3433¹
LCM(82374,82392) = 1131159768