What is the Least Common Multiple of 34410 and 34425?

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 34410 and 34425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34410 and 34425, than apply into the LCM equation.

GCF(34410,34425) = 15
LCM(34410,34425) = ( 34410 × 34425) / 15
LCM(34410,34425) = 1184564250 / 15
LCM(34410,34425) = 78970950

Least Common Multiple (LCM) of 34410 and 34425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34410 and 34425. First we will calculate the prime factors of 34410 and 34425.

Prime Factorization of 34410

Prime Factorization of 34425

Now multiplying the highest exponent prime factors to calculate the LCM of 34410 and 34425.

LCM(34410,34425) = 2¹ × 3⁴ × 5² × 31¹ × 37¹ × 17¹
LCM(34410,34425) = 78970950