What is the Least Common Multiple of 13138 and 13156?

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 13138 and 13156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13138 and 13156, than apply into the LCM equation.

GCF(13138,13156) = 2
LCM(13138,13156) = ( 13138 × 13156) / 2
LCM(13138,13156) = 172843528 / 2
LCM(13138,13156) = 86421764

Least Common Multiple (LCM) of 13138 and 13156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13138 and 13156. First we will calculate the prime factors of 13138 and 13156.

Prime Factorization of 13138

Prime Factorization of 13156

Now multiplying the highest exponent prime factors to calculate the LCM of 13138 and 13156.

LCM(13138,13156) = 2² × 6569¹ × 11¹ × 13¹ × 23¹
LCM(13138,13156) = 86421764