What is the Least Common Multiple of 82674 and 82693?

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 82674 and 82693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82674 and 82693, than apply into the LCM equation.

GCF(82674,82693) = 1
LCM(82674,82693) = ( 82674 × 82693) / 1
LCM(82674,82693) = 6836561082 / 1
LCM(82674,82693) = 6836561082

Least Common Multiple (LCM) of 82674 and 82693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82674 and 82693. First we will calculate the prime factors of 82674 and 82693.

Prime Factorization of 82674

Prime Factorization of 82693

Now multiplying the highest exponent prime factors to calculate the LCM of 82674 and 82693.

LCM(82674,82693) = 2¹ × 3³ × 1531¹ × 13¹ × 6361¹
LCM(82674,82693) = 6836561082