What is the Least Common Multiple of 42912 and 42921?

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 42921 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 42921, than apply into the LCM equation.

GCF(42912,42921) = 9
LCM(42912,42921) = ( 42912 × 42921) / 9
LCM(42912,42921) = 1841825952 / 9
LCM(42912,42921) = 204647328

Least Common Multiple (LCM) of 42912 and 42921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42912 and 42921. First we will calculate the prime factors of 42912 and 42921.

Prime Factorization of 42912

Prime Factorization of 42921

Now multiplying the highest exponent prime factors to calculate the LCM of 42912 and 42921.

LCM(42912,42921) = 2⁵ × 3² × 149¹ × 19¹ × 251¹
LCM(42912,42921) = 204647328