What is the Least Common Multiple of 82998 and 83006?

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 82998 and 83006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82998 and 83006, than apply into the LCM equation.

GCF(82998,83006) = 2
LCM(82998,83006) = ( 82998 × 83006) / 2
LCM(82998,83006) = 6889331988 / 2
LCM(82998,83006) = 3444665994

Least Common Multiple (LCM) of 82998 and 83006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82998 and 83006. First we will calculate the prime factors of 82998 and 83006.

Prime Factorization of 82998

Prime Factorization of 83006

Now multiplying the highest exponent prime factors to calculate the LCM of 82998 and 83006.

LCM(82998,83006) = 2¹ × 3³ × 29¹ × 53¹ × 7³ × 11²
LCM(82998,83006) = 3444665994