What is the Least Common Multiple of 93475 and 93490?

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 93490 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 93490, than apply into the LCM equation.

GCF(93475,93490) = 5
LCM(93475,93490) = ( 93475 × 93490) / 5
LCM(93475,93490) = 8738977750 / 5
LCM(93475,93490) = 1747795550

Least Common Multiple (LCM) of 93475 and 93490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93475 and 93490. First we will calculate the prime factors of 93475 and 93490.

Prime Factorization of 93475

Prime Factorization of 93490

Now multiplying the highest exponent prime factors to calculate the LCM of 93475 and 93490.

LCM(93475,93490) = 5² × 3739¹ × 2¹ × 9349¹
LCM(93475,93490) = 1747795550