What is the Least Common Multiple of 83730 and 83742?

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 83730 and 83742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83730 and 83742, than apply into the LCM equation.

GCF(83730,83742) = 6
LCM(83730,83742) = ( 83730 × 83742) / 6
LCM(83730,83742) = 7011717660 / 6
LCM(83730,83742) = 1168619610

Least Common Multiple (LCM) of 83730 and 83742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83730 and 83742. First we will calculate the prime factors of 83730 and 83742.

Prime Factorization of 83730

Prime Factorization of 83742

Now multiplying the highest exponent prime factors to calculate the LCM of 83730 and 83742.

LCM(83730,83742) = 2¹ × 3¹ × 5¹ × 2791¹ × 17¹ × 821¹
LCM(83730,83742) = 1168619610