What is the Least Common Multiple of 42396 and 42401?

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 42396 and 42401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42396 and 42401, than apply into the LCM equation.

GCF(42396,42401) = 1
LCM(42396,42401) = ( 42396 × 42401) / 1
LCM(42396,42401) = 1797632796 / 1
LCM(42396,42401) = 1797632796

Least Common Multiple (LCM) of 42396 and 42401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42396 and 42401. First we will calculate the prime factors of 42396 and 42401.

Prime Factorization of 42396

Prime Factorization of 42401

Now multiplying the highest exponent prime factors to calculate the LCM of 42396 and 42401.

LCM(42396,42401) = 2² × 3¹ × 3533¹ × 109¹ × 389¹
LCM(42396,42401) = 1797632796