What is the Least Common Multiple of 84238 and 84254?

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 84238 and 84254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84238 and 84254, than apply into the LCM equation.

GCF(84238,84254) = 2
LCM(84238,84254) = ( 84238 × 84254) / 2
LCM(84238,84254) = 7097388452 / 2
LCM(84238,84254) = 3548694226

Least Common Multiple (LCM) of 84238 and 84254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84238 and 84254. First we will calculate the prime factors of 84238 and 84254.

Prime Factorization of 84238

Prime Factorization of 84254

Now multiplying the highest exponent prime factors to calculate the LCM of 84238 and 84254.

LCM(84238,84254) = 2¹ × 7¹ × 11¹ × 547¹ × 103¹ × 409¹
LCM(84238,84254) = 3548694226