What is the Least Common Multiple of 82480 and 82494?

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 82480 and 82494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82480 and 82494, than apply into the LCM equation.

GCF(82480,82494) = 2
LCM(82480,82494) = ( 82480 × 82494) / 2
LCM(82480,82494) = 6804105120 / 2
LCM(82480,82494) = 3402052560

Least Common Multiple (LCM) of 82480 and 82494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82480 and 82494. First we will calculate the prime factors of 82480 and 82494.

Prime Factorization of 82480

Prime Factorization of 82494

Now multiplying the highest exponent prime factors to calculate the LCM of 82480 and 82494.

LCM(82480,82494) = 2⁴ × 5¹ × 1031¹ × 3² × 4583¹
LCM(82480,82494) = 3402052560