What is the Least Common Multiple of 37134 and 37149?

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 37134 and 37149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37134 and 37149, than apply into the LCM equation.

GCF(37134,37149) = 3
LCM(37134,37149) = ( 37134 × 37149) / 3
LCM(37134,37149) = 1379490966 / 3
LCM(37134,37149) = 459830322

Least Common Multiple (LCM) of 37134 and 37149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37134 and 37149. First we will calculate the prime factors of 37134 and 37149.

Prime Factorization of 37134

Prime Factorization of 37149

Now multiplying the highest exponent prime factors to calculate the LCM of 37134 and 37149.

LCM(37134,37149) = 2¹ × 3² × 2063¹ × 7¹ × 29¹ × 61¹
LCM(37134,37149) = 459830322