What is the Least Common Multiple of 51730 and 51742?

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 51730 and 51742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51730 and 51742, than apply into the LCM equation.

GCF(51730,51742) = 2
LCM(51730,51742) = ( 51730 × 51742) / 2
LCM(51730,51742) = 2676613660 / 2
LCM(51730,51742) = 1338306830

Least Common Multiple (LCM) of 51730 and 51742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51730 and 51742. First we will calculate the prime factors of 51730 and 51742.

Prime Factorization of 51730

Prime Factorization of 51742

Now multiplying the highest exponent prime factors to calculate the LCM of 51730 and 51742.

LCM(51730,51742) = 2¹ × 5¹ × 7¹ × 739¹ × 41¹ × 631¹
LCM(51730,51742) = 1338306830