GCF and LCM Calculator Logo

What is the Least Common Multiple of 66521 and 66540?

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 66521 and 66540 is 4426307340.

LCM(66521,66540) = 4426307340

LCM Calculator and
and

Least Common Multiple of 66521 and 66540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66521 and 66540, than apply into the LCM equation.

GCF(66521,66540) = 1
LCM(66521,66540) = ( 66521 × 66540) / 1
LCM(66521,66540) = 4426307340 / 1
LCM(66521,66540) = 4426307340

Least Common Multiple (LCM) of 66521 and 66540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66521 and 66540. First we will calculate the prime factors of 66521 and 66540.

Prime Factorization of 66521

Prime factors of 66521 are 7, 13, 17, 43. Prime factorization of 66521 in exponential form is:

66521 = 71 × 131 × 171 × 431

Prime Factorization of 66540

Prime factors of 66540 are 2, 3, 5, 1109. Prime factorization of 66540 in exponential form is:

66540 = 22 × 31 × 51 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 66521 and 66540.

LCM(66521,66540) = 71 × 131 × 171 × 431 × 22 × 31 × 51 × 11091
LCM(66521,66540) = 4426307340