What is the Least Common Multiple of 71535 and 71553?

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 71535 and 71553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71535 and 71553, than apply into the LCM equation.

GCF(71535,71553) = 3
LCM(71535,71553) = ( 71535 × 71553) / 3
LCM(71535,71553) = 5118543855 / 3
LCM(71535,71553) = 1706181285

Least Common Multiple (LCM) of 71535 and 71553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71535 and 71553. First we will calculate the prime factors of 71535 and 71553.

Prime Factorization of 71535

Prime Factorization of 71553

Now multiplying the highest exponent prime factors to calculate the LCM of 71535 and 71553.

LCM(71535,71553) = 3¹ × 5¹ × 19¹ × 251¹ × 17¹ × 23¹ × 61¹
LCM(71535,71553) = 1706181285