What is the Least Common Multiple of 34457 and 34475?

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 34457 and 34475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34457 and 34475, than apply into the LCM equation.

GCF(34457,34475) = 1
LCM(34457,34475) = ( 34457 × 34475) / 1
LCM(34457,34475) = 1187905075 / 1
LCM(34457,34475) = 1187905075

Least Common Multiple (LCM) of 34457 and 34475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34457 and 34475. First we will calculate the prime factors of 34457 and 34475.

Prime Factorization of 34457

Prime Factorization of 34475

Now multiplying the highest exponent prime factors to calculate the LCM of 34457 and 34475.

LCM(34457,34475) = 34457¹ × 5² × 7¹ × 197¹
LCM(34457,34475) = 1187905075