What is the Least Common Multiple of 35830 and 35842?

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 35830 and 35842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35830 and 35842, than apply into the LCM equation.

GCF(35830,35842) = 2
LCM(35830,35842) = ( 35830 × 35842) / 2
LCM(35830,35842) = 1284218860 / 2
LCM(35830,35842) = 642109430

Least Common Multiple (LCM) of 35830 and 35842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35830 and 35842. First we will calculate the prime factors of 35830 and 35842.

Prime Factorization of 35830

Prime Factorization of 35842

Now multiplying the highest exponent prime factors to calculate the LCM of 35830 and 35842.

LCM(35830,35842) = 2¹ × 5¹ × 3583¹ × 17921¹
LCM(35830,35842) = 642109430