What is the Least Common Multiple of 62517 and 62531?

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 62517 and 62531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62517 and 62531, than apply into the LCM equation.

GCF(62517,62531) = 7
LCM(62517,62531) = ( 62517 × 62531) / 7
LCM(62517,62531) = 3909250527 / 7
LCM(62517,62531) = 558464361

Least Common Multiple (LCM) of 62517 and 62531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62517 and 62531. First we will calculate the prime factors of 62517 and 62531.

Prime Factorization of 62517

Prime Factorization of 62531

Now multiplying the highest exponent prime factors to calculate the LCM of 62517 and 62531.

LCM(62517,62531) = 3¹ × 7¹ × 13¹ × 229¹ × 8933¹
LCM(62517,62531) = 558464361