What is the Least Common Multiple of 37312 and 37328?

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 37312 and 37328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37312 and 37328, than apply into the LCM equation.

GCF(37312,37328) = 16
LCM(37312,37328) = ( 37312 × 37328) / 16
LCM(37312,37328) = 1392782336 / 16
LCM(37312,37328) = 87048896

Least Common Multiple (LCM) of 37312 and 37328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37312 and 37328. First we will calculate the prime factors of 37312 and 37328.

Prime Factorization of 37312

Prime Factorization of 37328

Now multiplying the highest exponent prime factors to calculate the LCM of 37312 and 37328.

LCM(37312,37328) = 2⁶ × 11¹ × 53¹ × 2333¹
LCM(37312,37328) = 87048896