What is the Least Common Multiple of 37774 and 37784?

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 37774 and 37784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37774 and 37784, than apply into the LCM equation.

GCF(37774,37784) = 2
LCM(37774,37784) = ( 37774 × 37784) / 2
LCM(37774,37784) = 1427252816 / 2
LCM(37774,37784) = 713626408

Least Common Multiple (LCM) of 37774 and 37784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37774 and 37784. First we will calculate the prime factors of 37774 and 37784.

Prime Factorization of 37774

Prime Factorization of 37784

Now multiplying the highest exponent prime factors to calculate the LCM of 37774 and 37784.

LCM(37774,37784) = 2³ × 11¹ × 17¹ × 101¹ × 4723¹
LCM(37774,37784) = 713626408