What is the Least Common Multiple of 13257 and 13262?

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 13257 and 13262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13257 and 13262, than apply into the LCM equation.

GCF(13257,13262) = 1
LCM(13257,13262) = ( 13257 × 13262) / 1
LCM(13257,13262) = 175814334 / 1
LCM(13257,13262) = 175814334

Least Common Multiple (LCM) of 13257 and 13262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13257 and 13262. First we will calculate the prime factors of 13257 and 13262.

Prime Factorization of 13257

Prime Factorization of 13262

Now multiplying the highest exponent prime factors to calculate the LCM of 13257 and 13262.

LCM(13257,13262) = 3³ × 491¹ × 2¹ × 19¹ × 349¹
LCM(13257,13262) = 175814334