What is the Least Common Multiple of 37689 and 37704?

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 37689 and 37704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37689 and 37704, than apply into the LCM equation.

GCF(37689,37704) = 3
LCM(37689,37704) = ( 37689 × 37704) / 3
LCM(37689,37704) = 1421026056 / 3
LCM(37689,37704) = 473675352

Least Common Multiple (LCM) of 37689 and 37704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37689 and 37704. First we will calculate the prime factors of 37689 and 37704.

Prime Factorization of 37689

Prime Factorization of 37704

Now multiplying the highest exponent prime factors to calculate the LCM of 37689 and 37704.

LCM(37689,37704) = 3¹ × 17¹ × 739¹ × 2³ × 1571¹
LCM(37689,37704) = 473675352