What is the Least Common Multiple of 37328 and 37348?

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 37328 and 37348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37328 and 37348, than apply into the LCM equation.

GCF(37328,37348) = 4
LCM(37328,37348) = ( 37328 × 37348) / 4
LCM(37328,37348) = 1394126144 / 4
LCM(37328,37348) = 348531536

Least Common Multiple (LCM) of 37328 and 37348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37328 and 37348. First we will calculate the prime factors of 37328 and 37348.

Prime Factorization of 37328

Prime Factorization of 37348

Now multiplying the highest exponent prime factors to calculate the LCM of 37328 and 37348.

LCM(37328,37348) = 2⁴ × 2333¹ × 9337¹
LCM(37328,37348) = 348531536