What is the Least Common Multiple of 42238 and 42258?

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 42238 and 42258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42238 and 42258, than apply into the LCM equation.

GCF(42238,42258) = 2
LCM(42238,42258) = ( 42238 × 42258) / 2
LCM(42238,42258) = 1784893404 / 2
LCM(42238,42258) = 892446702

Least Common Multiple (LCM) of 42238 and 42258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42238 and 42258. First we will calculate the prime factors of 42238 and 42258.

Prime Factorization of 42238

Prime Factorization of 42258

Now multiplying the highest exponent prime factors to calculate the LCM of 42238 and 42258.

LCM(42238,42258) = 2¹ × 7² × 431¹ × 3¹ × 7043¹
LCM(42238,42258) = 892446702