What is the Least Common Multiple of 14120 and 14138?

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 14120 and 14138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14120 and 14138, than apply into the LCM equation.

GCF(14120,14138) = 2
LCM(14120,14138) = ( 14120 × 14138) / 2
LCM(14120,14138) = 199628560 / 2
LCM(14120,14138) = 99814280

Least Common Multiple (LCM) of 14120 and 14138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14120 and 14138. First we will calculate the prime factors of 14120 and 14138.

Prime Factorization of 14120

Prime Factorization of 14138

Now multiplying the highest exponent prime factors to calculate the LCM of 14120 and 14138.

LCM(14120,14138) = 2³ × 5¹ × 353¹ × 7069¹
LCM(14120,14138) = 99814280