What is the Least Common Multiple of 62535 and 62544?

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 62535 and 62544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62535 and 62544, than apply into the LCM equation.

GCF(62535,62544) = 3
LCM(62535,62544) = ( 62535 × 62544) / 3
LCM(62535,62544) = 3911189040 / 3
LCM(62535,62544) = 1303729680

Least Common Multiple (LCM) of 62535 and 62544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62535 and 62544. First we will calculate the prime factors of 62535 and 62544.

Prime Factorization of 62535

Prime Factorization of 62544

Now multiplying the highest exponent prime factors to calculate the LCM of 62535 and 62544.

LCM(62535,62544) = 3¹ × 5¹ × 11¹ × 379¹ × 2⁴ × 1303¹
LCM(62535,62544) = 1303729680