GCF and LCM Calculator Logo

What is the Least Common Multiple of 66815 and 66820?

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 66815 and 66820 is 892915660.

LCM(66815,66820) = 892915660

LCM Calculator and
and

Least Common Multiple of 66815 and 66820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66815 and 66820, than apply into the LCM equation.

GCF(66815,66820) = 5
LCM(66815,66820) = ( 66815 × 66820) / 5
LCM(66815,66820) = 4464578300 / 5
LCM(66815,66820) = 892915660

Least Common Multiple (LCM) of 66815 and 66820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66815 and 66820. First we will calculate the prime factors of 66815 and 66820.

Prime Factorization of 66815

Prime factors of 66815 are 5, 7, 23, 83. Prime factorization of 66815 in exponential form is:

66815 = 51 × 71 × 231 × 831

Prime Factorization of 66820

Prime factors of 66820 are 2, 5, 13, 257. Prime factorization of 66820 in exponential form is:

66820 = 22 × 51 × 131 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 66815 and 66820.

LCM(66815,66820) = 51 × 71 × 231 × 831 × 22 × 131 × 2571
LCM(66815,66820) = 892915660