What is the Least Common Multiple of 39830 and 39842?

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 39830 and 39842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39830 and 39842, than apply into the LCM equation.

GCF(39830,39842) = 2
LCM(39830,39842) = ( 39830 × 39842) / 2
LCM(39830,39842) = 1586906860 / 2
LCM(39830,39842) = 793453430

Least Common Multiple (LCM) of 39830 and 39842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39830 and 39842. First we will calculate the prime factors of 39830 and 39842.

Prime Factorization of 39830

Prime Factorization of 39842

Now multiplying the highest exponent prime factors to calculate the LCM of 39830 and 39842.

LCM(39830,39842) = 2¹ × 5¹ × 7¹ × 569¹ × 11¹ × 1811¹
LCM(39830,39842) = 793453430