What is the Least Common Multiple of 82968 and 82974?

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 82974 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 82974, than apply into the LCM equation.

GCF(82968,82974) = 6
LCM(82968,82974) = ( 82968 × 82974) / 6
LCM(82968,82974) = 6884186832 / 6
LCM(82968,82974) = 1147364472

Least Common Multiple (LCM) of 82968 and 82974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82968 and 82974. First we will calculate the prime factors of 82968 and 82974.

Prime Factorization of 82968

Prime Factorization of 82974

Now multiplying the highest exponent prime factors to calculate the LCM of 82968 and 82974.

LCM(82968,82974) = 2³ × 3¹ × 3457¹ × 13829¹
LCM(82968,82974) = 1147364472