What is the Least Common Multiple of 82740 and 82755?

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 82755 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 82755, than apply into the LCM equation.

GCF(82740,82755) = 15
LCM(82740,82755) = ( 82740 × 82755) / 15
LCM(82740,82755) = 6847148700 / 15
LCM(82740,82755) = 456476580

Least Common Multiple (LCM) of 82740 and 82755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82740 and 82755. First we will calculate the prime factors of 82740 and 82755.

Prime Factorization of 82740

Prime Factorization of 82755

Now multiplying the highest exponent prime factors to calculate the LCM of 82740 and 82755.

LCM(82740,82755) = 2² × 3³ × 5¹ × 7¹ × 197¹ × 613¹
LCM(82740,82755) = 456476580