What is the Least Common Multiple of 13262 and 13281?

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 13262 and 13281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13262 and 13281, than apply into the LCM equation.

GCF(13262,13281) = 19
LCM(13262,13281) = ( 13262 × 13281) / 19
LCM(13262,13281) = 176132622 / 19
LCM(13262,13281) = 9270138

Least Common Multiple (LCM) of 13262 and 13281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13262 and 13281. First we will calculate the prime factors of 13262 and 13281.

Prime Factorization of 13262

Prime Factorization of 13281

Now multiplying the highest exponent prime factors to calculate the LCM of 13262 and 13281.

LCM(13262,13281) = 2¹ × 19¹ × 349¹ × 3¹ × 233¹
LCM(13262,13281) = 9270138