What is the Least Common Multiple of 82380 and 82389?

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 82380 and 82389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82380 and 82389, than apply into the LCM equation.

GCF(82380,82389) = 3
LCM(82380,82389) = ( 82380 × 82389) / 3
LCM(82380,82389) = 6787205820 / 3
LCM(82380,82389) = 2262401940

Least Common Multiple (LCM) of 82380 and 82389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82380 and 82389. First we will calculate the prime factors of 82380 and 82389.

Prime Factorization of 82380

Prime Factorization of 82389

Now multiplying the highest exponent prime factors to calculate the LCM of 82380 and 82389.

LCM(82380,82389) = 2² × 3¹ × 5¹ × 1373¹ × 29¹ × 947¹
LCM(82380,82389) = 2262401940