What is the Least Common Multiple of 82538 and 82546?

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 82538 and 82546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82538 and 82546, than apply into the LCM equation.

GCF(82538,82546) = 2
LCM(82538,82546) = ( 82538 × 82546) / 2
LCM(82538,82546) = 6813181748 / 2
LCM(82538,82546) = 3406590874

Least Common Multiple (LCM) of 82538 and 82546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82538 and 82546. First we will calculate the prime factors of 82538 and 82546.

Prime Factorization of 82538

Prime Factorization of 82546

Now multiplying the highest exponent prime factors to calculate the LCM of 82538 and 82546.

LCM(82538,82546) = 2¹ × 41269¹ × 149¹ × 277¹
LCM(82538,82546) = 3406590874