What is the Least Common Multiple of 34561 and 34578?

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 34561 and 34578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34561 and 34578, than apply into the LCM equation.

GCF(34561,34578) = 17
LCM(34561,34578) = ( 34561 × 34578) / 17
LCM(34561,34578) = 1195050258 / 17
LCM(34561,34578) = 70297074

Least Common Multiple (LCM) of 34561 and 34578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34561 and 34578. First we will calculate the prime factors of 34561 and 34578.

Prime Factorization of 34561

Prime Factorization of 34578

Now multiplying the highest exponent prime factors to calculate the LCM of 34561 and 34578.

LCM(34561,34578) = 17¹ × 19¹ × 107¹ × 2¹ × 3² × 113¹
LCM(34561,34578) = 70297074