What is the Least Common Multiple of 71730 and 71742?

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 71730 and 71742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71730 and 71742, than apply into the LCM equation.

GCF(71730,71742) = 6
LCM(71730,71742) = ( 71730 × 71742) / 6
LCM(71730,71742) = 5146053660 / 6
LCM(71730,71742) = 857675610

Least Common Multiple (LCM) of 71730 and 71742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71730 and 71742. First we will calculate the prime factors of 71730 and 71742.

Prime Factorization of 71730

Prime Factorization of 71742

Now multiplying the highest exponent prime factors to calculate the LCM of 71730 and 71742.

LCM(71730,71742) = 2¹ × 3² × 5¹ × 797¹ × 11¹ × 1087¹
LCM(71730,71742) = 857675610