What is the Least Common Multiple of 93345 and 93362?

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 93362 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 93362, than apply into the LCM equation.

GCF(93345,93362) = 1
LCM(93345,93362) = ( 93345 × 93362) / 1
LCM(93345,93362) = 8714875890 / 1
LCM(93345,93362) = 8714875890

Least Common Multiple (LCM) of 93345 and 93362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93345 and 93362. First we will calculate the prime factors of 93345 and 93362.

Prime Factorization of 93345

Prime Factorization of 93362

Now multiplying the highest exponent prime factors to calculate the LCM of 93345 and 93362.

LCM(93345,93362) = 3¹ × 5¹ × 7² × 127¹ × 2¹ × 46681¹
LCM(93345,93362) = 8714875890