What is the Least Common Multiple of 35470 and 35485?

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 35470 and 35485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35470 and 35485, than apply into the LCM equation.

GCF(35470,35485) = 5
LCM(35470,35485) = ( 35470 × 35485) / 5
LCM(35470,35485) = 1258652950 / 5
LCM(35470,35485) = 251730590

Least Common Multiple (LCM) of 35470 and 35485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35470 and 35485. First we will calculate the prime factors of 35470 and 35485.

Prime Factorization of 35470

Prime Factorization of 35485

Now multiplying the highest exponent prime factors to calculate the LCM of 35470 and 35485.

LCM(35470,35485) = 2¹ × 5¹ × 3547¹ × 47¹ × 151¹
LCM(35470,35485) = 251730590