What is the Least Common Multiple of 58805 and 58820?

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 58805 and 58820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58805 and 58820, than apply into the LCM equation.

GCF(58805,58820) = 5
LCM(58805,58820) = ( 58805 × 58820) / 5
LCM(58805,58820) = 3458910100 / 5
LCM(58805,58820) = 691782020

Least Common Multiple (LCM) of 58805 and 58820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58805 and 58820. First we will calculate the prime factors of 58805 and 58820.

Prime Factorization of 58805

Prime Factorization of 58820

Now multiplying the highest exponent prime factors to calculate the LCM of 58805 and 58820.

LCM(58805,58820) = 5¹ × 19¹ × 619¹ × 2² × 17¹ × 173¹
LCM(58805,58820) = 691782020