What is the Least Common Multiple of 84234 and 84251?

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 84234 and 84251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84234 and 84251, than apply into the LCM equation.

GCF(84234,84251) = 1
LCM(84234,84251) = ( 84234 × 84251) / 1
LCM(84234,84251) = 7096798734 / 1
LCM(84234,84251) = 7096798734

Least Common Multiple (LCM) of 84234 and 84251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84234 and 84251. First we will calculate the prime factors of 84234 and 84251.

Prime Factorization of 84234

Prime Factorization of 84251

Now multiplying the highest exponent prime factors to calculate the LCM of 84234 and 84251.

LCM(84234,84251) = 2¹ × 3¹ × 101¹ × 139¹ × 173¹ × 487¹
LCM(84234,84251) = 7096798734