What is the Least Common Multiple of 93345 and 93355?

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 93345 and 93355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93345 and 93355, than apply into the LCM equation.

GCF(93345,93355) = 5
LCM(93345,93355) = ( 93345 × 93355) / 5
LCM(93345,93355) = 8714222475 / 5
LCM(93345,93355) = 1742844495

Least Common Multiple (LCM) of 93345 and 93355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93345 and 93355. First we will calculate the prime factors of 93345 and 93355.

Prime Factorization of 93345

Prime Factorization of 93355

Now multiplying the highest exponent prime factors to calculate the LCM of 93345 and 93355.

LCM(93345,93355) = 3¹ × 5¹ × 7² × 127¹ × 18671¹
LCM(93345,93355) = 1742844495