What is the Least Common Multiple of 82740 and 82752?

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 82740 and 82752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82740 and 82752, than apply into the LCM equation.

GCF(82740,82752) = 12
LCM(82740,82752) = ( 82740 × 82752) / 12
LCM(82740,82752) = 6846900480 / 12
LCM(82740,82752) = 570575040

Least Common Multiple (LCM) of 82740 and 82752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82740 and 82752. First we will calculate the prime factors of 82740 and 82752.

Prime Factorization of 82740

Prime Factorization of 82752

Now multiplying the highest exponent prime factors to calculate the LCM of 82740 and 82752.

LCM(82740,82752) = 2⁶ × 3¹ × 5¹ × 7¹ × 197¹ × 431¹
LCM(82740,82752) = 570575040