What is the Least Common Multiple of 93730 and 93737?

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 93730 and 93737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93730 and 93737, than apply into the LCM equation.

GCF(93730,93737) = 7
LCM(93730,93737) = ( 93730 × 93737) / 7
LCM(93730,93737) = 8785969010 / 7
LCM(93730,93737) = 1255138430

Least Common Multiple (LCM) of 93730 and 93737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93730 and 93737. First we will calculate the prime factors of 93730 and 93737.

Prime Factorization of 93730

Prime Factorization of 93737

Now multiplying the highest exponent prime factors to calculate the LCM of 93730 and 93737.

LCM(93730,93737) = 2¹ × 5¹ × 7² × 13¹ × 103¹ × 1913¹
LCM(93730,93737) = 1255138430