What is the Least Common Multiple of 84229 and 84249?

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 84229 and 84249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84229 and 84249, than apply into the LCM equation.

GCF(84229,84249) = 1
LCM(84229,84249) = ( 84229 × 84249) / 1
LCM(84229,84249) = 7096209021 / 1
LCM(84229,84249) = 7096209021

Least Common Multiple (LCM) of 84229 and 84249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84229 and 84249. First we will calculate the prime factors of 84229 and 84249.

Prime Factorization of 84229

Prime Factorization of 84249

Now multiplying the highest exponent prime factors to calculate the LCM of 84229 and 84249.

LCM(84229,84249) = 84229¹ × 3² × 11¹ × 23¹ × 37¹
LCM(84229,84249) = 7096209021