What is the Least Common Multiple of 81824 and 81830?

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 81824 and 81830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81824 and 81830, than apply into the LCM equation.

GCF(81824,81830) = 2
LCM(81824,81830) = ( 81824 × 81830) / 2
LCM(81824,81830) = 6695657920 / 2
LCM(81824,81830) = 3347828960

Least Common Multiple (LCM) of 81824 and 81830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81824 and 81830. First we will calculate the prime factors of 81824 and 81830.

Prime Factorization of 81824

Prime Factorization of 81830

Now multiplying the highest exponent prime factors to calculate the LCM of 81824 and 81830.

LCM(81824,81830) = 2⁵ × 2557¹ × 5¹ × 7² × 167¹
LCM(81824,81830) = 3347828960