What is the Least Common Multiple of 81802 and 81808?

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 81802 and 81808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81802 and 81808, than apply into the LCM equation.

GCF(81802,81808) = 2
LCM(81802,81808) = ( 81802 × 81808) / 2
LCM(81802,81808) = 6692058016 / 2
LCM(81802,81808) = 3346029008

Least Common Multiple (LCM) of 81802 and 81808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81802 and 81808. First we will calculate the prime factors of 81802 and 81808.

Prime Factorization of 81802

Prime Factorization of 81808

Now multiplying the highest exponent prime factors to calculate the LCM of 81802 and 81808.

LCM(81802,81808) = 2⁴ × 7¹ × 5843¹ × 5113¹
LCM(81802,81808) = 3346029008