What is the Least Common Multiple of 84730 and 84742?

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 84730 and 84742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84730 and 84742, than apply into the LCM equation.

GCF(84730,84742) = 2
LCM(84730,84742) = ( 84730 × 84742) / 2
LCM(84730,84742) = 7180189660 / 2
LCM(84730,84742) = 3590094830

Least Common Multiple (LCM) of 84730 and 84742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84730 and 84742. First we will calculate the prime factors of 84730 and 84742.

Prime Factorization of 84730

Prime Factorization of 84742

Now multiplying the highest exponent prime factors to calculate the LCM of 84730 and 84742.

LCM(84730,84742) = 2¹ × 5¹ × 37¹ × 229¹ × 7¹ × 6053¹
LCM(84730,84742) = 3590094830