What is the Least Common Multiple of 65470 and 65485?

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 65470 and 65485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65470 and 65485, than apply into the LCM equation.

GCF(65470,65485) = 5
LCM(65470,65485) = ( 65470 × 65485) / 5
LCM(65470,65485) = 4287302950 / 5
LCM(65470,65485) = 857460590

Least Common Multiple (LCM) of 65470 and 65485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65470 and 65485. First we will calculate the prime factors of 65470 and 65485.

Prime Factorization of 65470

Prime Factorization of 65485

Now multiplying the highest exponent prime factors to calculate the LCM of 65470 and 65485.

LCM(65470,65485) = 2¹ × 5¹ × 6547¹ × 7¹ × 1871¹
LCM(65470,65485) = 857460590