What is the Least Common Multiple of 82968 and 82980?

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 82980 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 82980, than apply into the LCM equation.

GCF(82968,82980) = 12
LCM(82968,82980) = ( 82968 × 82980) / 12
LCM(82968,82980) = 6884684640 / 12
LCM(82968,82980) = 573723720

Least Common Multiple (LCM) of 82968 and 82980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82968 and 82980. First we will calculate the prime factors of 82968 and 82980.

Prime Factorization of 82968

Prime Factorization of 82980

Now multiplying the highest exponent prime factors to calculate the LCM of 82968 and 82980.

LCM(82968,82980) = 2³ × 3² × 3457¹ × 5¹ × 461¹
LCM(82968,82980) = 573723720