What is the Least Common Multiple of 62544 and 62560?

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 62544 and 62560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62544 and 62560, than apply into the LCM equation.

GCF(62544,62560) = 16
LCM(62544,62560) = ( 62544 × 62560) / 16
LCM(62544,62560) = 3912752640 / 16
LCM(62544,62560) = 244547040

Least Common Multiple (LCM) of 62544 and 62560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62544 and 62560. First we will calculate the prime factors of 62544 and 62560.

Prime Factorization of 62544

Prime Factorization of 62560

Now multiplying the highest exponent prime factors to calculate the LCM of 62544 and 62560.

LCM(62544,62560) = 2⁵ × 3¹ × 1303¹ × 5¹ × 17¹ × 23¹
LCM(62544,62560) = 244547040