What is the Least Common Multiple of 4120 and 4138?

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 4120 and 4138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4120 and 4138, than apply into the LCM equation.

GCF(4120,4138) = 2
LCM(4120,4138) = ( 4120 × 4138) / 2
LCM(4120,4138) = 17048560 / 2
LCM(4120,4138) = 8524280

Least Common Multiple (LCM) of 4120 and 4138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4120 and 4138. First we will calculate the prime factors of 4120 and 4138.

Prime Factorization of 4120

Prime Factorization of 4138

Now multiplying the highest exponent prime factors to calculate the LCM of 4120 and 4138.

LCM(4120,4138) = 2³ × 5¹ × 103¹ × 2069¹
LCM(4120,4138) = 8524280