What is the Least Common Multiple of 82968 and 82976?

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 82968 and 82976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82968 and 82976, than apply into the LCM equation.

GCF(82968,82976) = 8
LCM(82968,82976) = ( 82968 × 82976) / 8
LCM(82968,82976) = 6884352768 / 8
LCM(82968,82976) = 860544096

Least Common Multiple (LCM) of 82968 and 82976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82968 and 82976. First we will calculate the prime factors of 82968 and 82976.

Prime Factorization of 82968

Prime Factorization of 82976

Now multiplying the highest exponent prime factors to calculate the LCM of 82968 and 82976.

LCM(82968,82976) = 2⁵ × 3¹ × 3457¹ × 2593¹
LCM(82968,82976) = 860544096