What is the Least Common Multiple of 66528 and 66535?

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 66535 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 66535, than apply into the LCM equation.

GCF(66528,66535) = 7
LCM(66528,66535) = ( 66528 × 66535) / 7
LCM(66528,66535) = 4426440480 / 7
LCM(66528,66535) = 632348640

Least Common Multiple (LCM) of 66528 and 66535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66528 and 66535. First we will calculate the prime factors of 66528 and 66535.

Prime Factorization of 66528

Prime Factorization of 66535

Now multiplying the highest exponent prime factors to calculate the LCM of 66528 and 66535.

LCM(66528,66535) = 2⁵ × 3³ × 7¹ × 11¹ × 5¹ × 1901¹
LCM(66528,66535) = 632348640