What is the Least Common Multiple of 34456 and 34470?

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 34456 and 34470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34456 and 34470, than apply into the LCM equation.

GCF(34456,34470) = 2
LCM(34456,34470) = ( 34456 × 34470) / 2
LCM(34456,34470) = 1187698320 / 2
LCM(34456,34470) = 593849160

Least Common Multiple (LCM) of 34456 and 34470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34456 and 34470. First we will calculate the prime factors of 34456 and 34470.

Prime Factorization of 34456

Prime Factorization of 34470

Now multiplying the highest exponent prime factors to calculate the LCM of 34456 and 34470.

LCM(34456,34470) = 2³ × 59¹ × 73¹ × 3² × 5¹ × 383¹
LCM(34456,34470) = 593849160