What is the Least Common Multiple of 93345 and 93356?

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 93356 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 93356, than apply into the LCM equation.

GCF(93345,93356) = 1
LCM(93345,93356) = ( 93345 × 93356) / 1
LCM(93345,93356) = 8714315820 / 1
LCM(93345,93356) = 8714315820

Least Common Multiple (LCM) of 93345 and 93356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93345 and 93356. First we will calculate the prime factors of 93345 and 93356.

Prime Factorization of 93345

Prime Factorization of 93356

Now multiplying the highest exponent prime factors to calculate the LCM of 93345 and 93356.

LCM(93345,93356) = 3¹ × 5¹ × 7² × 127¹ × 2² × 23339¹
LCM(93345,93356) = 8714315820