What is the Least Common Multiple of 83530 and 83537?

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 83530 and 83537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83530 and 83537, than apply into the LCM equation.

GCF(83530,83537) = 1
LCM(83530,83537) = ( 83530 × 83537) / 1
LCM(83530,83537) = 6977845610 / 1
LCM(83530,83537) = 6977845610

Least Common Multiple (LCM) of 83530 and 83537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83530 and 83537. First we will calculate the prime factors of 83530 and 83537.

Prime Factorization of 83530

Prime Factorization of 83537

Now multiplying the highest exponent prime factors to calculate the LCM of 83530 and 83537.

LCM(83530,83537) = 2¹ × 5¹ × 8353¹ × 83537¹
LCM(83530,83537) = 6977845610