What is the Least Common Multiple of 58780 and 58800?

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 58780 and 58800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58780 and 58800, than apply into the LCM equation.

GCF(58780,58800) = 20
LCM(58780,58800) = ( 58780 × 58800) / 20
LCM(58780,58800) = 3456264000 / 20
LCM(58780,58800) = 172813200

Least Common Multiple (LCM) of 58780 and 58800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58780 and 58800. First we will calculate the prime factors of 58780 and 58800.

Prime Factorization of 58780

Prime Factorization of 58800

Now multiplying the highest exponent prime factors to calculate the LCM of 58780 and 58800.

LCM(58780,58800) = 2⁴ × 5² × 2939¹ × 3¹ × 7²
LCM(58780,58800) = 172813200