What is the Least Common Multiple of 42921 and 42936?

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 42921 and 42936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42921 and 42936, than apply into the LCM equation.

GCF(42921,42936) = 3
LCM(42921,42936) = ( 42921 × 42936) / 3
LCM(42921,42936) = 1842856056 / 3
LCM(42921,42936) = 614285352

Least Common Multiple (LCM) of 42921 and 42936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42921 and 42936. First we will calculate the prime factors of 42921 and 42936.

Prime Factorization of 42921

Prime Factorization of 42936

Now multiplying the highest exponent prime factors to calculate the LCM of 42921 and 42936.

LCM(42921,42936) = 3² × 19¹ × 251¹ × 2³ × 1789¹
LCM(42921,42936) = 614285352