What is the Least Common Multiple of 21774 and 21784?

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 21774 and 21784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21774 and 21784, than apply into the LCM equation.

GCF(21774,21784) = 2
LCM(21774,21784) = ( 21774 × 21784) / 2
LCM(21774,21784) = 474324816 / 2
LCM(21774,21784) = 237162408

Least Common Multiple (LCM) of 21774 and 21784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21774 and 21784. First we will calculate the prime factors of 21774 and 21784.

Prime Factorization of 21774

Prime Factorization of 21784

Now multiplying the highest exponent prime factors to calculate the LCM of 21774 and 21784.

LCM(21774,21784) = 2³ × 3¹ × 19¹ × 191¹ × 7¹ × 389¹
LCM(21774,21784) = 237162408