What is the Least Common Multiple of 8138 and 8156?

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 8138 and 8156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8138 and 8156, than apply into the LCM equation.

GCF(8138,8156) = 2
LCM(8138,8156) = ( 8138 × 8156) / 2
LCM(8138,8156) = 66373528 / 2
LCM(8138,8156) = 33186764

Least Common Multiple (LCM) of 8138 and 8156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8138 and 8156. First we will calculate the prime factors of 8138 and 8156.

Prime Factorization of 8138

Prime Factorization of 8156

Now multiplying the highest exponent prime factors to calculate the LCM of 8138 and 8156.

LCM(8138,8156) = 2² × 13¹ × 313¹ × 2039¹
LCM(8138,8156) = 33186764