What is the Least Common Multiple of 42238 and 42246?

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 42246 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 42246, than apply into the LCM equation.

GCF(42238,42246) = 2
LCM(42238,42246) = ( 42238 × 42246) / 2
LCM(42238,42246) = 1784386548 / 2
LCM(42238,42246) = 892193274

Least Common Multiple (LCM) of 42238 and 42246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42238 and 42246. First we will calculate the prime factors of 42238 and 42246.

Prime Factorization of 42238

Prime Factorization of 42246

Now multiplying the highest exponent prime factors to calculate the LCM of 42238 and 42246.

LCM(42238,42246) = 2¹ × 7² × 431¹ × 3² × 2347¹
LCM(42238,42246) = 892193274