What is the Least Common Multiple of 37056 and 37076?

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 37056 and 37076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37056 and 37076, than apply into the LCM equation.

GCF(37056,37076) = 4
LCM(37056,37076) = ( 37056 × 37076) / 4
LCM(37056,37076) = 1373888256 / 4
LCM(37056,37076) = 343472064

Least Common Multiple (LCM) of 37056 and 37076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37056 and 37076. First we will calculate the prime factors of 37056 and 37076.

Prime Factorization of 37056

Prime Factorization of 37076

Now multiplying the highest exponent prime factors to calculate the LCM of 37056 and 37076.

LCM(37056,37076) = 2⁶ × 3¹ × 193¹ × 13¹ × 23¹ × 31¹
LCM(37056,37076) = 343472064