What is the Least Common Multiple of 82968 and 82973?

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 82973 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 82973, than apply into the LCM equation.

GCF(82968,82973) = 1
LCM(82968,82973) = ( 82968 × 82973) / 1
LCM(82968,82973) = 6884103864 / 1
LCM(82968,82973) = 6884103864

Least Common Multiple (LCM) of 82968 and 82973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82968 and 82973. First we will calculate the prime factors of 82968 and 82973.

Prime Factorization of 82968

Prime Factorization of 82973

Now multiplying the highest exponent prime factors to calculate the LCM of 82968 and 82973.

LCM(82968,82973) = 2³ × 3¹ × 3457¹ × 11¹ × 19¹ × 397¹
LCM(82968,82973) = 6884103864