What is the Least Common Multiple of 93509 and 93514?

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 93509 and 93514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93509 and 93514, than apply into the LCM equation.

GCF(93509,93514) = 1
LCM(93509,93514) = ( 93509 × 93514) / 1
LCM(93509,93514) = 8744400626 / 1
LCM(93509,93514) = 8744400626

Least Common Multiple (LCM) of 93509 and 93514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93509 and 93514. First we will calculate the prime factors of 93509 and 93514.

Prime Factorization of 93509

Prime Factorization of 93514

Now multiplying the highest exponent prime factors to calculate the LCM of 93509 and 93514.

LCM(93509,93514) = 13¹ × 7193¹ × 2¹ × 46757¹
LCM(93509,93514) = 8744400626