What is the Least Common Multiple of 84258 and 84269?

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 84258 and 84269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84258 and 84269, than apply into the LCM equation.

GCF(84258,84269) = 1
LCM(84258,84269) = ( 84258 × 84269) / 1
LCM(84258,84269) = 7100337402 / 1
LCM(84258,84269) = 7100337402

Least Common Multiple (LCM) of 84258 and 84269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84258 and 84269. First we will calculate the prime factors of 84258 and 84269.

Prime Factorization of 84258

Prime Factorization of 84269

Now multiplying the highest exponent prime factors to calculate the LCM of 84258 and 84269.

LCM(84258,84269) = 2¹ × 3² × 31¹ × 151¹ × 17¹ × 4957¹
LCM(84258,84269) = 7100337402