What is the Least Common Multiple of 35517 and 35532?

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 35517 and 35532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35517 and 35532, than apply into the LCM equation.

GCF(35517,35532) = 3
LCM(35517,35532) = ( 35517 × 35532) / 3
LCM(35517,35532) = 1261990044 / 3
LCM(35517,35532) = 420663348

Least Common Multiple (LCM) of 35517 and 35532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35517 and 35532. First we will calculate the prime factors of 35517 and 35532.

Prime Factorization of 35517

Prime Factorization of 35532

Now multiplying the highest exponent prime factors to calculate the LCM of 35517 and 35532.

LCM(35517,35532) = 3³ × 11839¹ × 2² × 7¹ × 47¹
LCM(35517,35532) = 420663348