What is the Least Common Multiple of 26730 and 26742?

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 26730 and 26742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26730 and 26742, than apply into the LCM equation.

GCF(26730,26742) = 6
LCM(26730,26742) = ( 26730 × 26742) / 6
LCM(26730,26742) = 714813660 / 6
LCM(26730,26742) = 119135610

Least Common Multiple (LCM) of 26730 and 26742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26730 and 26742. First we will calculate the prime factors of 26730 and 26742.

Prime Factorization of 26730

Prime Factorization of 26742

Now multiplying the highest exponent prime factors to calculate the LCM of 26730 and 26742.

LCM(26730,26742) = 2¹ × 3⁵ × 5¹ × 11¹ × 4457¹
LCM(26730,26742) = 119135610