What is the Least Common Multiple of 26435 and 26449?

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 26435 and 26449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26435 and 26449, than apply into the LCM equation.

GCF(26435,26449) = 1
LCM(26435,26449) = ( 26435 × 26449) / 1
LCM(26435,26449) = 699179315 / 1
LCM(26435,26449) = 699179315

Least Common Multiple (LCM) of 26435 and 26449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26435 and 26449. First we will calculate the prime factors of 26435 and 26449.

Prime Factorization of 26435

Prime Factorization of 26449

Now multiplying the highest exponent prime factors to calculate the LCM of 26435 and 26449.

LCM(26435,26449) = 5¹ × 17¹ × 311¹ × 26449¹
LCM(26435,26449) = 699179315