What is the Least Common Multiple of 8805 and 8820?

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 8805 and 8820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8805 and 8820, than apply into the LCM equation.

GCF(8805,8820) = 15
LCM(8805,8820) = ( 8805 × 8820) / 15
LCM(8805,8820) = 77660100 / 15
LCM(8805,8820) = 5177340

Least Common Multiple (LCM) of 8805 and 8820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8805 and 8820. First we will calculate the prime factors of 8805 and 8820.

Prime Factorization of 8805

Prime Factorization of 8820

Now multiplying the highest exponent prime factors to calculate the LCM of 8805 and 8820.

LCM(8805,8820) = 3² × 5¹ × 587¹ × 2² × 7²
LCM(8805,8820) = 5177340