What is the Least Common Multiple of 37056 and 37065?

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 37065 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 37065, than apply into the LCM equation.

GCF(37056,37065) = 3
LCM(37056,37065) = ( 37056 × 37065) / 3
LCM(37056,37065) = 1373480640 / 3
LCM(37056,37065) = 457826880

Least Common Multiple (LCM) of 37056 and 37065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37056 and 37065. First we will calculate the prime factors of 37056 and 37065.

Prime Factorization of 37056

Prime Factorization of 37065

Now multiplying the highest exponent prime factors to calculate the LCM of 37056 and 37065.

LCM(37056,37065) = 2⁶ × 3¹ × 193¹ × 5¹ × 7¹ × 353¹
LCM(37056,37065) = 457826880