What is the Least Common Multiple of 91590 and 91605?

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 91590 and 91605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91590 and 91605, than apply into the LCM equation.

GCF(91590,91605) = 15
LCM(91590,91605) = ( 91590 × 91605) / 15
LCM(91590,91605) = 8390101950 / 15
LCM(91590,91605) = 559340130

Least Common Multiple (LCM) of 91590 and 91605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91590 and 91605. First we will calculate the prime factors of 91590 and 91605.

Prime Factorization of 91590

Prime Factorization of 91605

Now multiplying the highest exponent prime factors to calculate the LCM of 91590 and 91605.

LCM(91590,91605) = 2¹ × 3¹ × 5¹ × 43¹ × 71¹ × 31¹ × 197¹
LCM(91590,91605) = 559340130