What is the Least Common Multiple of 42902 and 42912?

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 42902 and 42912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42902 and 42912, than apply into the LCM equation.

GCF(42902,42912) = 2
LCM(42902,42912) = ( 42902 × 42912) / 2
LCM(42902,42912) = 1841010624 / 2
LCM(42902,42912) = 920505312

Least Common Multiple (LCM) of 42902 and 42912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42902 and 42912. First we will calculate the prime factors of 42902 and 42912.

Prime Factorization of 42902

Prime Factorization of 42912

Now multiplying the highest exponent prime factors to calculate the LCM of 42902 and 42912.

LCM(42902,42912) = 2⁵ × 19¹ × 1129¹ × 3² × 149¹
LCM(42902,42912) = 920505312