What is the Least Common Multiple of 93508 and 93527?

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 93508 and 93527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93508 and 93527, than apply into the LCM equation.

GCF(93508,93527) = 1
LCM(93508,93527) = ( 93508 × 93527) / 1
LCM(93508,93527) = 8745522716 / 1
LCM(93508,93527) = 8745522716

Least Common Multiple (LCM) of 93508 and 93527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93508 and 93527. First we will calculate the prime factors of 93508 and 93527.

Prime Factorization of 93508

Prime Factorization of 93527

Now multiplying the highest exponent prime factors to calculate the LCM of 93508 and 93527.

LCM(93508,93527) = 2² × 97¹ × 241¹ × 7¹ × 31¹ × 431¹
LCM(93508,93527) = 8745522716