What is the Least Common Multiple of 82040 and 82054?

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 82040 and 82054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82040 and 82054, than apply into the LCM equation.

GCF(82040,82054) = 14
LCM(82040,82054) = ( 82040 × 82054) / 14
LCM(82040,82054) = 6731710160 / 14
LCM(82040,82054) = 480836440

Least Common Multiple (LCM) of 82040 and 82054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82040 and 82054. First we will calculate the prime factors of 82040 and 82054.

Prime Factorization of 82040

Prime Factorization of 82054

Now multiplying the highest exponent prime factors to calculate the LCM of 82040 and 82054.

LCM(82040,82054) = 2³ × 5¹ × 7¹ × 293¹ × 5861¹
LCM(82040,82054) = 480836440