What is the Least Common Multiple of 4774 and 4784?

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 4774 and 4784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4774 and 4784, than apply into the LCM equation.

GCF(4774,4784) = 2
LCM(4774,4784) = ( 4774 × 4784) / 2
LCM(4774,4784) = 22838816 / 2
LCM(4774,4784) = 11419408

Least Common Multiple (LCM) of 4774 and 4784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4774 and 4784. First we will calculate the prime factors of 4774 and 4784.

Prime Factorization of 4774

Prime Factorization of 4784

Now multiplying the highest exponent prime factors to calculate the LCM of 4774 and 4784.

LCM(4774,4784) = 2⁴ × 7¹ × 11¹ × 31¹ × 13¹ × 23¹
LCM(4774,4784) = 11419408