What is the Least Common Multiple of 4095 and 4102?

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 4095 and 4102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4095 and 4102, than apply into the LCM equation.

GCF(4095,4102) = 7
LCM(4095,4102) = ( 4095 × 4102) / 7
LCM(4095,4102) = 16797690 / 7
LCM(4095,4102) = 2399670

Least Common Multiple (LCM) of 4095 and 4102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4095 and 4102. First we will calculate the prime factors of 4095 and 4102.

Prime Factorization of 4095

Prime Factorization of 4102

Now multiplying the highest exponent prime factors to calculate the LCM of 4095 and 4102.

LCM(4095,4102) = 3² × 5¹ × 7¹ × 13¹ × 2¹ × 293¹
LCM(4095,4102) = 2399670