What is the Least Common Multiple of 51030 and 51037?

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 51030 and 51037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51030 and 51037, than apply into the LCM equation.

GCF(51030,51037) = 7
LCM(51030,51037) = ( 51030 × 51037) / 7
LCM(51030,51037) = 2604418110 / 7
LCM(51030,51037) = 372059730

Least Common Multiple (LCM) of 51030 and 51037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51030 and 51037. First we will calculate the prime factors of 51030 and 51037.

Prime Factorization of 51030

Prime Factorization of 51037

Now multiplying the highest exponent prime factors to calculate the LCM of 51030 and 51037.

LCM(51030,51037) = 2¹ × 3⁶ × 5¹ × 7¹ × 23¹ × 317¹
LCM(51030,51037) = 372059730