What is the Least Common Multiple of 42284 and 42292?

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 42284 and 42292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42284 and 42292, than apply into the LCM equation.

GCF(42284,42292) = 4
LCM(42284,42292) = ( 42284 × 42292) / 4
LCM(42284,42292) = 1788274928 / 4
LCM(42284,42292) = 447068732

Least Common Multiple (LCM) of 42284 and 42292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42284 and 42292. First we will calculate the prime factors of 42284 and 42292.

Prime Factorization of 42284

Prime Factorization of 42292

Now multiplying the highest exponent prime factors to calculate the LCM of 42284 and 42292.

LCM(42284,42292) = 2² × 11¹ × 31² × 97¹ × 109¹
LCM(42284,42292) = 447068732