What is the Least Common Multiple of 62528 and 62536?

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 62528 and 62536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62528 and 62536, than apply into the LCM equation.

GCF(62528,62536) = 8
LCM(62528,62536) = ( 62528 × 62536) / 8
LCM(62528,62536) = 3910251008 / 8
LCM(62528,62536) = 488781376

Least Common Multiple (LCM) of 62528 and 62536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62528 and 62536. First we will calculate the prime factors of 62528 and 62536.

Prime Factorization of 62528

Prime Factorization of 62536

Now multiplying the highest exponent prime factors to calculate the LCM of 62528 and 62536.

LCM(62528,62536) = 2⁶ × 977¹ × 7817¹
LCM(62528,62536) = 488781376