What is the Least Common Multiple of 4115 and 4120?

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 4115 and 4120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4115 and 4120, than apply into the LCM equation.

GCF(4115,4120) = 5
LCM(4115,4120) = ( 4115 × 4120) / 5
LCM(4115,4120) = 16953800 / 5
LCM(4115,4120) = 3390760

Least Common Multiple (LCM) of 4115 and 4120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4115 and 4120. First we will calculate the prime factors of 4115 and 4120.

Prime Factorization of 4115

Prime Factorization of 4120

Now multiplying the highest exponent prime factors to calculate the LCM of 4115 and 4120.

LCM(4115,4120) = 5¹ × 823¹ × 2³ × 103¹
LCM(4115,4120) = 3390760