What is the Least Common Multiple of 93667 and 93681?

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 93667 and 93681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93667 and 93681, than apply into the LCM equation.

GCF(93667,93681) = 7
LCM(93667,93681) = ( 93667 × 93681) / 7
LCM(93667,93681) = 8774818227 / 7
LCM(93667,93681) = 1253545461

Least Common Multiple (LCM) of 93667 and 93681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93667 and 93681. First we will calculate the prime factors of 93667 and 93681.

Prime Factorization of 93667

Prime Factorization of 93681

Now multiplying the highest exponent prime factors to calculate the LCM of 93667 and 93681.

LCM(93667,93681) = 7¹ × 13381¹ × 3² × 1487¹
LCM(93667,93681) = 1253545461