What is the Least Common Multiple of 82728 and 82740?

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 82728 and 82740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82728 and 82740, than apply into the LCM equation.

GCF(82728,82740) = 12
LCM(82728,82740) = ( 82728 × 82740) / 12
LCM(82728,82740) = 6844914720 / 12
LCM(82728,82740) = 570409560

Least Common Multiple (LCM) of 82728 and 82740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82728 and 82740. First we will calculate the prime factors of 82728 and 82740.

Prime Factorization of 82728

Prime Factorization of 82740

Now multiplying the highest exponent prime factors to calculate the LCM of 82728 and 82740.

LCM(82728,82740) = 2³ × 3³ × 383¹ × 5¹ × 7¹ × 197¹
LCM(82728,82740) = 570409560