What is the Least Common Multiple of 82520 and 82538?

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 82520 and 82538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82520 and 82538, than apply into the LCM equation.

GCF(82520,82538) = 2
LCM(82520,82538) = ( 82520 × 82538) / 2
LCM(82520,82538) = 6811035760 / 2
LCM(82520,82538) = 3405517880

Least Common Multiple (LCM) of 82520 and 82538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82520 and 82538. First we will calculate the prime factors of 82520 and 82538.

Prime Factorization of 82520

Prime Factorization of 82538

Now multiplying the highest exponent prime factors to calculate the LCM of 82520 and 82538.

LCM(82520,82538) = 2³ × 5¹ × 2063¹ × 41269¹
LCM(82520,82538) = 3405517880