GCF and LCM Calculator Logo

What is the Least Common Multiple of 16563 and 16577?

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 (LCM) of 16563 and 16577 is 274564851.

LCM(16563,16577) = 274564851

LCM Calculator and
and

Least Common Multiple of 16563 and 16577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16563 and 16577, than apply into the LCM equation.

GCF(16563,16577) = 1
LCM(16563,16577) = ( 16563 × 16577) / 1
LCM(16563,16577) = 274564851 / 1
LCM(16563,16577) = 274564851

Least Common Multiple (LCM) of 16563 and 16577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16563 and 16577. First we will calculate the prime factors of 16563 and 16577.

Prime Factorization of 16563

Prime factors of 16563 are 3, 5521. Prime factorization of 16563 in exponential form is:

16563 = 31 × 55211

Prime Factorization of 16577

Prime factors of 16577 are 11, 137. Prime factorization of 16577 in exponential form is:

16577 = 112 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 16563 and 16577.

LCM(16563,16577) = 31 × 55211 × 112 × 1371
LCM(16563,16577) = 274564851