What is the Least Common Multiple of 42912 and 42929?

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 42912 and 42929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42912 and 42929, than apply into the LCM equation.

GCF(42912,42929) = 1
LCM(42912,42929) = ( 42912 × 42929) / 1
LCM(42912,42929) = 1842169248 / 1
LCM(42912,42929) = 1842169248

Least Common Multiple (LCM) of 42912 and 42929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42912 and 42929. First we will calculate the prime factors of 42912 and 42929.

Prime Factorization of 42912

Prime Factorization of 42929

Now multiplying the highest exponent prime factors to calculate the LCM of 42912 and 42929.

LCM(42912,42929) = 2⁵ × 3² × 149¹ × 42929¹
LCM(42912,42929) = 1842169248