What is the Least Common Multiple of 82890 and 82906?

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 82890 and 82906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82890 and 82906, than apply into the LCM equation.

GCF(82890,82906) = 2
LCM(82890,82906) = ( 82890 × 82906) / 2
LCM(82890,82906) = 6872078340 / 2
LCM(82890,82906) = 3436039170

Least Common Multiple (LCM) of 82890 and 82906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82890 and 82906. First we will calculate the prime factors of 82890 and 82906.

Prime Factorization of 82890

Prime Factorization of 82906

Now multiplying the highest exponent prime factors to calculate the LCM of 82890 and 82906.

LCM(82890,82906) = 2¹ × 3³ × 5¹ × 307¹ × 41453¹
LCM(82890,82906) = 3436039170