What is the Least Common Multiple of 82860 and 82868?

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 82860 and 82868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82860 and 82868, than apply into the LCM equation.

GCF(82860,82868) = 4
LCM(82860,82868) = ( 82860 × 82868) / 4
LCM(82860,82868) = 6866442480 / 4
LCM(82860,82868) = 1716610620

Least Common Multiple (LCM) of 82860 and 82868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82860 and 82868. First we will calculate the prime factors of 82860 and 82868.

Prime Factorization of 82860

Prime Factorization of 82868

Now multiplying the highest exponent prime factors to calculate the LCM of 82860 and 82868.

LCM(82860,82868) = 2² × 3¹ × 5¹ × 1381¹ × 20717¹
LCM(82860,82868) = 1716610620