What is the Least Common Multiple of 84042 and 84049?

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 84042 and 84049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84042 and 84049, than apply into the LCM equation.

GCF(84042,84049) = 7
LCM(84042,84049) = ( 84042 × 84049) / 7
LCM(84042,84049) = 7063646058 / 7
LCM(84042,84049) = 1009092294

Least Common Multiple (LCM) of 84042 and 84049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84042 and 84049. First we will calculate the prime factors of 84042 and 84049.

Prime Factorization of 84042

Prime Factorization of 84049

Now multiplying the highest exponent prime factors to calculate the LCM of 84042 and 84049.

LCM(84042,84049) = 2¹ × 3² × 7¹ × 23¹ × 29¹ × 12007¹
LCM(84042,84049) = 1009092294