What is the Least Common Multiple of 93475 and 93492?

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 93475 and 93492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93475 and 93492, than apply into the LCM equation.

GCF(93475,93492) = 1
LCM(93475,93492) = ( 93475 × 93492) / 1
LCM(93475,93492) = 8739164700 / 1
LCM(93475,93492) = 8739164700

Least Common Multiple (LCM) of 93475 and 93492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93475 and 93492. First we will calculate the prime factors of 93475 and 93492.

Prime Factorization of 93475

Prime Factorization of 93492

Now multiplying the highest exponent prime factors to calculate the LCM of 93475 and 93492.

LCM(93475,93492) = 5² × 3739¹ × 2² × 3² × 7² × 53¹
LCM(93475,93492) = 8739164700