What is the Least Common Multiple of 82966 and 82970?

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 82966 and 82970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82966 and 82970, than apply into the LCM equation.

GCF(82966,82970) = 2
LCM(82966,82970) = ( 82966 × 82970) / 2
LCM(82966,82970) = 6883689020 / 2
LCM(82966,82970) = 3441844510

Least Common Multiple (LCM) of 82966 and 82970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82966 and 82970. First we will calculate the prime factors of 82966 and 82970.

Prime Factorization of 82966

Prime Factorization of 82970

Now multiplying the highest exponent prime factors to calculate the LCM of 82966 and 82970.

LCM(82966,82970) = 2¹ × 13¹ × 3191¹ × 5¹ × 8297¹
LCM(82966,82970) = 3441844510