What is the Least Common Multiple of 34870 and 34875?

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 34870 and 34875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34870 and 34875, than apply into the LCM equation.

GCF(34870,34875) = 5
LCM(34870,34875) = ( 34870 × 34875) / 5
LCM(34870,34875) = 1216091250 / 5
LCM(34870,34875) = 243218250

Least Common Multiple (LCM) of 34870 and 34875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34870 and 34875. First we will calculate the prime factors of 34870 and 34875.

Prime Factorization of 34870

Prime Factorization of 34875

Now multiplying the highest exponent prime factors to calculate the LCM of 34870 and 34875.

LCM(34870,34875) = 2¹ × 5³ × 11¹ × 317¹ × 3² × 31¹
LCM(34870,34875) = 243218250