What is the Least Common Multiple of 35827 and 35847?

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 35827 and 35847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35827 and 35847, than apply into the LCM equation.

GCF(35827,35847) = 1
LCM(35827,35847) = ( 35827 × 35847) / 1
LCM(35827,35847) = 1284290469 / 1
LCM(35827,35847) = 1284290469

Least Common Multiple (LCM) of 35827 and 35847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35827 and 35847. First we will calculate the prime factors of 35827 and 35847.

Prime Factorization of 35827

Prime Factorization of 35847

Now multiplying the highest exponent prime factors to calculate the LCM of 35827 and 35847.

LCM(35827,35847) = 11¹ × 3257¹ × 3² × 7¹ × 569¹
LCM(35827,35847) = 1284290469