What is the Least Common Multiple of 27517 and 27531?

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 27517 and 27531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27517 and 27531, than apply into the LCM equation.

GCF(27517,27531) = 7
LCM(27517,27531) = ( 27517 × 27531) / 7
LCM(27517,27531) = 757570527 / 7
LCM(27517,27531) = 108224361

Least Common Multiple (LCM) of 27517 and 27531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27517 and 27531. First we will calculate the prime factors of 27517 and 27531.

Prime Factorization of 27517

Prime Factorization of 27531

Now multiplying the highest exponent prime factors to calculate the LCM of 27517 and 27531.

LCM(27517,27531) = 7¹ × 3931¹ × 3² × 19¹ × 23¹
LCM(27517,27531) = 108224361