What is the Least Common Multiple of 4149 and 4163?

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 4149 and 4163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4149 and 4163, than apply into the LCM equation.

GCF(4149,4163) = 1
LCM(4149,4163) = ( 4149 × 4163) / 1
LCM(4149,4163) = 17272287 / 1
LCM(4149,4163) = 17272287

Least Common Multiple (LCM) of 4149 and 4163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4149 and 4163. First we will calculate the prime factors of 4149 and 4163.

Prime Factorization of 4149

Prime Factorization of 4163

Now multiplying the highest exponent prime factors to calculate the LCM of 4149 and 4163.

LCM(4149,4163) = 3² × 461¹ × 23¹ × 181¹
LCM(4149,4163) = 17272287