What is the Least Common Multiple of 75535 and 75554?

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 75535 and 75554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75535 and 75554, than apply into the LCM equation.

GCF(75535,75554) = 1
LCM(75535,75554) = ( 75535 × 75554) / 1
LCM(75535,75554) = 5706971390 / 1
LCM(75535,75554) = 5706971390

Least Common Multiple (LCM) of 75535 and 75554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75535 and 75554. First we will calculate the prime factors of 75535 and 75554.

Prime Factorization of 75535

Prime Factorization of 75554

Now multiplying the highest exponent prime factors to calculate the LCM of 75535 and 75554.

LCM(75535,75554) = 5¹ × 15107¹ × 2¹ × 37¹ × 1021¹
LCM(75535,75554) = 5706971390