What is the Least Common Multiple of 93465 and 93475?

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 93465 and 93475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93465 and 93475, than apply into the LCM equation.

GCF(93465,93475) = 5
LCM(93465,93475) = ( 93465 × 93475) / 5
LCM(93465,93475) = 8736640875 / 5
LCM(93465,93475) = 1747328175

Least Common Multiple (LCM) of 93465 and 93475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93465 and 93475. First we will calculate the prime factors of 93465 and 93475.

Prime Factorization of 93465

Prime Factorization of 93475

Now multiplying the highest exponent prime factors to calculate the LCM of 93465 and 93475.

LCM(93465,93475) = 3² × 5² × 31¹ × 67¹ × 3739¹
LCM(93465,93475) = 1747328175