What is the Least Common Multiple of 37056 and 37064?

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 37064 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 37064, than apply into the LCM equation.

GCF(37056,37064) = 8
LCM(37056,37064) = ( 37056 × 37064) / 8
LCM(37056,37064) = 1373443584 / 8
LCM(37056,37064) = 171680448

Least Common Multiple (LCM) of 37056 and 37064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37056 and 37064. First we will calculate the prime factors of 37056 and 37064.

Prime Factorization of 37056

Prime Factorization of 37064

Now multiplying the highest exponent prime factors to calculate the LCM of 37056 and 37064.

LCM(37056,37064) = 2⁶ × 3¹ × 193¹ × 41¹ × 113¹
LCM(37056,37064) = 171680448