What is the Least Common Multiple of 35805 and 35821?

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 35805 and 35821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35805 and 35821, than apply into the LCM equation.

GCF(35805,35821) = 1
LCM(35805,35821) = ( 35805 × 35821) / 1
LCM(35805,35821) = 1282570905 / 1
LCM(35805,35821) = 1282570905

Least Common Multiple (LCM) of 35805 and 35821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35805 and 35821. First we will calculate the prime factors of 35805 and 35821.

Prime Factorization of 35805

Prime Factorization of 35821

Now multiplying the highest exponent prime factors to calculate the LCM of 35805 and 35821.

LCM(35805,35821) = 3¹ × 5¹ × 7¹ × 11¹ × 31¹ × 113¹ × 317¹
LCM(35805,35821) = 1282570905