What is the Least Common Multiple of 93772 and 93789?

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 93772 and 93789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93772 and 93789, than apply into the LCM equation.

GCF(93772,93789) = 17
LCM(93772,93789) = ( 93772 × 93789) / 17
LCM(93772,93789) = 8794782108 / 17
LCM(93772,93789) = 517340124

Least Common Multiple (LCM) of 93772 and 93789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93772 and 93789. First we will calculate the prime factors of 93772 and 93789.

Prime Factorization of 93772

Prime Factorization of 93789

Now multiplying the highest exponent prime factors to calculate the LCM of 93772 and 93789.

LCM(93772,93789) = 2² × 7¹ × 17¹ × 197¹ × 3² × 613¹
LCM(93772,93789) = 517340124