What is the Least Common Multiple of 35575 and 35581?

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 35575 and 35581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35575 and 35581, than apply into the LCM equation.

GCF(35575,35581) = 1
LCM(35575,35581) = ( 35575 × 35581) / 1
LCM(35575,35581) = 1265794075 / 1
LCM(35575,35581) = 1265794075

Least Common Multiple (LCM) of 35575 and 35581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35575 and 35581. First we will calculate the prime factors of 35575 and 35581.

Prime Factorization of 35575

Prime Factorization of 35581

Now multiplying the highest exponent prime factors to calculate the LCM of 35575 and 35581.

LCM(35575,35581) = 5² × 1423¹ × 7¹ × 13¹ × 17¹ × 23¹
LCM(35575,35581) = 1265794075