What is the Least Common Multiple of 93705 and 93721?

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 93705 and 93721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93705 and 93721, than apply into the LCM equation.

GCF(93705,93721) = 1
LCM(93705,93721) = ( 93705 × 93721) / 1
LCM(93705,93721) = 8782126305 / 1
LCM(93705,93721) = 8782126305

Least Common Multiple (LCM) of 93705 and 93721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93705 and 93721. First we will calculate the prime factors of 93705 and 93721.

Prime Factorization of 93705

Prime Factorization of 93721

Now multiplying the highest exponent prime factors to calculate the LCM of 93705 and 93721.

LCM(93705,93721) = 3¹ × 5¹ × 6247¹ × 17¹ × 37¹ × 149¹
LCM(93705,93721) = 8782126305