What is the Least Common Multiple of 66528 and 66536?

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 66528 and 66536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66528 and 66536, than apply into the LCM equation.

GCF(66528,66536) = 8
LCM(66528,66536) = ( 66528 × 66536) / 8
LCM(66528,66536) = 4426507008 / 8
LCM(66528,66536) = 553313376

Least Common Multiple (LCM) of 66528 and 66536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66528 and 66536. First we will calculate the prime factors of 66528 and 66536.

Prime Factorization of 66528

Prime Factorization of 66536

Now multiplying the highest exponent prime factors to calculate the LCM of 66528 and 66536.

LCM(66528,66536) = 2⁵ × 3³ × 7¹ × 11¹ × 8317¹
LCM(66528,66536) = 553313376