What is the Least Common Multiple of 4137 and 4149?

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 4137 and 4149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4137 and 4149, than apply into the LCM equation.

GCF(4137,4149) = 3
LCM(4137,4149) = ( 4137 × 4149) / 3
LCM(4137,4149) = 17164413 / 3
LCM(4137,4149) = 5721471

Least Common Multiple (LCM) of 4137 and 4149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4137 and 4149. First we will calculate the prime factors of 4137 and 4149.

Prime Factorization of 4137

Prime Factorization of 4149

Now multiplying the highest exponent prime factors to calculate the LCM of 4137 and 4149.

LCM(4137,4149) = 3² × 7¹ × 197¹ × 461¹
LCM(4137,4149) = 5721471