What is the Least Common Multiple of 35546 and 35563?

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 35546 and 35563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35546 and 35563, than apply into the LCM equation.

GCF(35546,35563) = 1
LCM(35546,35563) = ( 35546 × 35563) / 1
LCM(35546,35563) = 1264122398 / 1
LCM(35546,35563) = 1264122398

Least Common Multiple (LCM) of 35546 and 35563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35546 and 35563. First we will calculate the prime factors of 35546 and 35563.

Prime Factorization of 35546

Prime Factorization of 35563

Now multiplying the highest exponent prime factors to calculate the LCM of 35546 and 35563.

LCM(35546,35563) = 2¹ × 7¹ × 2539¹ × 11¹ × 53¹ × 61¹
LCM(35546,35563) = 1264122398