What is the Least Common Multiple of 35561 and 35569?

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 35561 and 35569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35561 and 35569, than apply into the LCM equation.

GCF(35561,35569) = 1
LCM(35561,35569) = ( 35561 × 35569) / 1
LCM(35561,35569) = 1264869209 / 1
LCM(35561,35569) = 1264869209

Least Common Multiple (LCM) of 35561 and 35569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35561 and 35569. First we will calculate the prime factors of 35561 and 35569.

Prime Factorization of 35561

Prime Factorization of 35569

Now multiplying the highest exponent prime factors to calculate the LCM of 35561 and 35569.

LCM(35561,35569) = 43¹ × 827¹ × 35569¹
LCM(35561,35569) = 1264869209