What is the Least Common Multiple of 82880 and 82899?

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 82880 and 82899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82880 and 82899, than apply into the LCM equation.

GCF(82880,82899) = 1
LCM(82880,82899) = ( 82880 × 82899) / 1
LCM(82880,82899) = 6870669120 / 1
LCM(82880,82899) = 6870669120

Least Common Multiple (LCM) of 82880 and 82899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82880 and 82899. First we will calculate the prime factors of 82880 and 82899.

Prime Factorization of 82880

Prime Factorization of 82899

Now multiplying the highest exponent prime factors to calculate the LCM of 82880 and 82899.

LCM(82880,82899) = 2⁶ × 5¹ × 7¹ × 37¹ × 3² × 61¹ × 151¹
LCM(82880,82899) = 6870669120