What is the Least Common Multiple of 35810 and 35827?

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 35810 and 35827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35810 and 35827, than apply into the LCM equation.

GCF(35810,35827) = 1
LCM(35810,35827) = ( 35810 × 35827) / 1
LCM(35810,35827) = 1282964870 / 1
LCM(35810,35827) = 1282964870

Least Common Multiple (LCM) of 35810 and 35827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35810 and 35827. First we will calculate the prime factors of 35810 and 35827.

Prime Factorization of 35810

Prime Factorization of 35827

Now multiplying the highest exponent prime factors to calculate the LCM of 35810 and 35827.

LCM(35810,35827) = 2¹ × 5¹ × 3581¹ × 11¹ × 3257¹
LCM(35810,35827) = 1282964870