What is the Least Common Multiple of 42364 and 42371?

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 42364 and 42371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42364 and 42371, than apply into the LCM equation.

GCF(42364,42371) = 7
LCM(42364,42371) = ( 42364 × 42371) / 7
LCM(42364,42371) = 1795005044 / 7
LCM(42364,42371) = 256429292

Least Common Multiple (LCM) of 42364 and 42371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42364 and 42371. First we will calculate the prime factors of 42364 and 42371.

Prime Factorization of 42364

Prime Factorization of 42371

Now multiplying the highest exponent prime factors to calculate the LCM of 42364 and 42371.

LCM(42364,42371) = 2² × 7¹ × 17¹ × 89¹ × 6053¹
LCM(42364,42371) = 256429292