What is the Least Common Multiple of 35442 and 35449?

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 35442 and 35449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35442 and 35449, than apply into the LCM equation.

GCF(35442,35449) = 1
LCM(35442,35449) = ( 35442 × 35449) / 1
LCM(35442,35449) = 1256383458 / 1
LCM(35442,35449) = 1256383458

Least Common Multiple (LCM) of 35442 and 35449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35442 and 35449. First we will calculate the prime factors of 35442 and 35449.

Prime Factorization of 35442

Prime Factorization of 35449

Now multiplying the highest exponent prime factors to calculate the LCM of 35442 and 35449.

LCM(35442,35449) = 2¹ × 3² × 11¹ × 179¹ × 35449¹
LCM(35442,35449) = 1256383458