What is the Least Common Multiple of 16526 and 16536?

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 16526 and 16536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16526 and 16536, than apply into the LCM equation.

GCF(16526,16536) = 2
LCM(16526,16536) = ( 16526 × 16536) / 2
LCM(16526,16536) = 273273936 / 2
LCM(16526,16536) = 136636968

Least Common Multiple (LCM) of 16526 and 16536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16526 and 16536. First we will calculate the prime factors of 16526 and 16536.

Prime Factorization of 16526

Prime Factorization of 16536

Now multiplying the highest exponent prime factors to calculate the LCM of 16526 and 16536.

LCM(16526,16536) = 2³ × 8263¹ × 3¹ × 13¹ × 53¹
LCM(16526,16536) = 136636968