What is the Least Common Multiple of 82078 and 82082?

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 82078 and 82082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82078 and 82082, than apply into the LCM equation.

GCF(82078,82082) = 2
LCM(82078,82082) = ( 82078 × 82082) / 2
LCM(82078,82082) = 6737126396 / 2
LCM(82078,82082) = 3368563198

Least Common Multiple (LCM) of 82078 and 82082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82078 and 82082. First we will calculate the prime factors of 82078 and 82082.

Prime Factorization of 82078

Prime Factorization of 82082

Now multiplying the highest exponent prime factors to calculate the LCM of 82078 and 82082.

LCM(82078,82082) = 2¹ × 41039¹ × 7¹ × 11¹ × 13¹ × 41¹
LCM(82078,82082) = 3368563198