What is the Least Common Multiple of 26449 and 26455?

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 26449 and 26455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26449 and 26455, than apply into the LCM equation.

GCF(26449,26455) = 1
LCM(26449,26455) = ( 26449 × 26455) / 1
LCM(26449,26455) = 699708295 / 1
LCM(26449,26455) = 699708295

Least Common Multiple (LCM) of 26449 and 26455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26449 and 26455. First we will calculate the prime factors of 26449 and 26455.

Prime Factorization of 26449

Prime Factorization of 26455

Now multiplying the highest exponent prime factors to calculate the LCM of 26449 and 26455.

LCM(26449,26455) = 26449¹ × 5¹ × 11¹ × 13¹ × 37¹
LCM(26449,26455) = 699708295