What is the Least Common Multiple of 30524 and 30537?

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 30524 and 30537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30524 and 30537, than apply into the LCM equation.

GCF(30524,30537) = 13
LCM(30524,30537) = ( 30524 × 30537) / 13
LCM(30524,30537) = 932111388 / 13
LCM(30524,30537) = 71700876

Least Common Multiple (LCM) of 30524 and 30537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30524 and 30537. First we will calculate the prime factors of 30524 and 30537.

Prime Factorization of 30524

Prime Factorization of 30537

Now multiplying the highest exponent prime factors to calculate the LCM of 30524 and 30537.

LCM(30524,30537) = 2² × 13¹ × 587¹ × 3⁴ × 29¹
LCM(30524,30537) = 71700876