What is the Least Common Multiple of 37784 and 37788?

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 37784 and 37788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37784 and 37788, than apply into the LCM equation.

GCF(37784,37788) = 4
LCM(37784,37788) = ( 37784 × 37788) / 4
LCM(37784,37788) = 1427781792 / 4
LCM(37784,37788) = 356945448

Least Common Multiple (LCM) of 37784 and 37788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37784 and 37788. First we will calculate the prime factors of 37784 and 37788.

Prime Factorization of 37784

Prime Factorization of 37788

Now multiplying the highest exponent prime factors to calculate the LCM of 37784 and 37788.

LCM(37784,37788) = 2³ × 4723¹ × 3¹ × 47¹ × 67¹
LCM(37784,37788) = 356945448