GCF and LCM Calculator Logo

What is the Least Common Multiple of 66527 and 66543?

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 66527 and 66543 is 4426906161.

LCM(66527,66543) = 4426906161

LCM Calculator and
and

Least Common Multiple of 66527 and 66543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66527 and 66543, than apply into the LCM equation.

GCF(66527,66543) = 1
LCM(66527,66543) = ( 66527 × 66543) / 1
LCM(66527,66543) = 4426906161 / 1
LCM(66527,66543) = 4426906161

Least Common Multiple (LCM) of 66527 and 66543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66527 and 66543. First we will calculate the prime factors of 66527 and 66543.

Prime Factorization of 66527

Prime factors of 66527 are 71, 937. Prime factorization of 66527 in exponential form is:

66527 = 711 × 9371

Prime Factorization of 66543

Prime factors of 66543 are 3, 41, 541. Prime factorization of 66543 in exponential form is:

66543 = 31 × 411 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 66527 and 66543.

LCM(66527,66543) = 711 × 9371 × 31 × 411 × 5411
LCM(66527,66543) = 4426906161