What is the Least Common Multiple of 37935 and 37944?

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 37935 and 37944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37935 and 37944, than apply into the LCM equation.

GCF(37935,37944) = 9
LCM(37935,37944) = ( 37935 × 37944) / 9
LCM(37935,37944) = 1439405640 / 9
LCM(37935,37944) = 159933960

Least Common Multiple (LCM) of 37935 and 37944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37935 and 37944. First we will calculate the prime factors of 37935 and 37944.

Prime Factorization of 37935

Prime Factorization of 37944

Now multiplying the highest exponent prime factors to calculate the LCM of 37935 and 37944.

LCM(37935,37944) = 3³ × 5¹ × 281¹ × 2³ × 17¹ × 31¹
LCM(37935,37944) = 159933960