What is the Least Common Multiple of 5122 and 5138?

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 5122 and 5138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5122 and 5138, than apply into the LCM equation.

GCF(5122,5138) = 2
LCM(5122,5138) = ( 5122 × 5138) / 2
LCM(5122,5138) = 26316836 / 2
LCM(5122,5138) = 13158418

Least Common Multiple (LCM) of 5122 and 5138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5122 and 5138. First we will calculate the prime factors of 5122 and 5138.

Prime Factorization of 5122

Prime Factorization of 5138

Now multiplying the highest exponent prime factors to calculate the LCM of 5122 and 5138.

LCM(5122,5138) = 2¹ × 13¹ × 197¹ × 7¹ × 367¹
LCM(5122,5138) = 13158418