What is the Least Common Multiple of 7124 and 7138?

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 7124 and 7138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7124 and 7138, than apply into the LCM equation.

GCF(7124,7138) = 2
LCM(7124,7138) = ( 7124 × 7138) / 2
LCM(7124,7138) = 50851112 / 2
LCM(7124,7138) = 25425556

Least Common Multiple (LCM) of 7124 and 7138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7124 and 7138. First we will calculate the prime factors of 7124 and 7138.

Prime Factorization of 7124

Prime Factorization of 7138

Now multiplying the highest exponent prime factors to calculate the LCM of 7124 and 7138.

LCM(7124,7138) = 2² × 13¹ × 137¹ × 43¹ × 83¹
LCM(7124,7138) = 25425556