What is the Least Common Multiple of 39470 and 39485?

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 39470 and 39485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39470 and 39485, than apply into the LCM equation.

GCF(39470,39485) = 5
LCM(39470,39485) = ( 39470 × 39485) / 5
LCM(39470,39485) = 1558472950 / 5
LCM(39470,39485) = 311694590

Least Common Multiple (LCM) of 39470 and 39485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39470 and 39485. First we will calculate the prime factors of 39470 and 39485.

Prime Factorization of 39470

Prime Factorization of 39485

Now multiplying the highest exponent prime factors to calculate the LCM of 39470 and 39485.

LCM(39470,39485) = 2¹ × 5¹ × 3947¹ × 53¹ × 149¹
LCM(39470,39485) = 311694590