What is the Least Common Multiple of 42772 and 42784?

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 42772 and 42784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42772 and 42784, than apply into the LCM equation.

GCF(42772,42784) = 4
LCM(42772,42784) = ( 42772 × 42784) / 4
LCM(42772,42784) = 1829957248 / 4
LCM(42772,42784) = 457489312

Least Common Multiple (LCM) of 42772 and 42784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42772 and 42784. First we will calculate the prime factors of 42772 and 42784.

Prime Factorization of 42772

Prime Factorization of 42784

Now multiplying the highest exponent prime factors to calculate the LCM of 42772 and 42784.

LCM(42772,42784) = 2⁵ × 17² × 37¹ × 7¹ × 191¹
LCM(42772,42784) = 457489312