What is the Least Common Multiple of 82535 and 82540?

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 82535 and 82540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82535 and 82540, than apply into the LCM equation.

GCF(82535,82540) = 5
LCM(82535,82540) = ( 82535 × 82540) / 5
LCM(82535,82540) = 6812438900 / 5
LCM(82535,82540) = 1362487780

Least Common Multiple (LCM) of 82535 and 82540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82535 and 82540. First we will calculate the prime factors of 82535 and 82540.

Prime Factorization of 82535

Prime Factorization of 82540

Now multiplying the highest exponent prime factors to calculate the LCM of 82535 and 82540.

LCM(82535,82540) = 5¹ × 17¹ × 971¹ × 2² × 4127¹
LCM(82535,82540) = 1362487780