What is the Least Common Multiple of 93780 and 93797?

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 93780 and 93797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93780 and 93797, than apply into the LCM equation.

GCF(93780,93797) = 1
LCM(93780,93797) = ( 93780 × 93797) / 1
LCM(93780,93797) = 8796282660 / 1
LCM(93780,93797) = 8796282660

Least Common Multiple (LCM) of 93780 and 93797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93780 and 93797. First we will calculate the prime factors of 93780 and 93797.

Prime Factorization of 93780

Prime Factorization of 93797

Now multiplying the highest exponent prime factors to calculate the LCM of 93780 and 93797.

LCM(93780,93797) = 2² × 3² × 5¹ × 521¹ × 11¹ × 8527¹
LCM(93780,93797) = 8796282660